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Finding the Fourth Proportional to 252,009,964,666.70, 378,014,947,000.10 and 252,009,964,666.70

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Solution

The fourth proportional to 252,009,964,666.70, 378,014,947,000.10 and 252,009,964,666.70 is: 378,014,947,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,009,964,666.70 : 378,014,947,000.10 = 252,009,964,666.70 : x
  2. Step 2: Convert to fraction form
    252,009,964,666.70/378,014,947,000.10 = 252,009,964,666.70/x
  3. Step 3: Cross multiply
    252,009,964,666.70x = 378,014,947,000.10 × 252,009,964,666.70
  4. Step 4: Simplify right side
    252,009,964,666.70x = 95,263,533,436,979,680,116,736
  5. Step 5: Solve for x
    x = 95,263,533,436,979,680,116,736/252,009,964,666.70
  6. Step 6: Final answer
    x = 378,014,947,000.10

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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.