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Finding the Fourth Proportional to 1,010,943,998.90, 1,516,415,998.35 and 466,748,414.90

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Solution

The fourth proportional to 1,010,943,998.90, 1,516,415,998.35 and 466,748,414.90 is: 700,122,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,943,998.90 : 1,516,415,998.35 = 466,748,414.90 : x
  2. Step 2: Convert to fraction form
    1,010,943,998.90/1,516,415,998.35 = 466,748,414.90/x
  3. Step 3: Cross multiply
    1,010,943,998.90x = 1,516,415,998.35 × 466,748,414.90
  4. Step 4: Simplify right side
    1,010,943,998.90x = 707,784,763,558,863,488
  5. Step 5: Solve for x
    x = 707,784,763,558,863,488/1,010,943,998.90
  6. Step 6: Final answer
    x = 700,122,622.35

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Half scale
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Double scale
Find fourth proportional to 1,010,943,999.90, 1,516,415,999.85 and 466,748,415.90
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.