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Finding the Fourth Proportional to 1,298,059,985.70, 1,947,089,978.55 and 377,966,340.90

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Solution

The fourth proportional to 1,298,059,985.70, 1,947,089,978.55 and 377,966,340.90 is: 566,949,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,059,985.70 : 1,947,089,978.55 = 377,966,340.90 : x
  2. Step 2: Convert to fraction form
    1,298,059,985.70/1,947,089,978.55 = 377,966,340.90/x
  3. Step 3: Cross multiply
    1,298,059,985.70x = 1,947,089,978.55 × 377,966,340.90
  4. Step 4: Simplify right side
    1,298,059,985.70x = 735,934,474,595,602,944
  5. Step 5: Solve for x
    x = 735,934,474,595,602,944/1,298,059,985.70
  6. Step 6: Final answer
    x = 566,949,511.35

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Half scale
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Double scale
Find fourth proportional to 1,298,059,986.70, 1,947,089,980.05 and 377,966,341.90
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.