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Finding the Fourth Proportional to 717,551,032.80, 1,005,251,690.40 and 717,551,032.80

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Solution

The fourth proportional to 717,551,032.80, 1,005,251,690.40 and 717,551,032.80 is: 1,005,251,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,551,032.80 : 1,005,251,690.40 = 717,551,032.80 : x
  2. Step 2: Convert to fraction form
    717,551,032.80/1,005,251,690.40 = 717,551,032.80/x
  3. Step 3: Cross multiply
    717,551,032.80x = 1,005,251,690.40 × 717,551,032.80
  4. Step 4: Simplify right side
    717,551,032.80x = 721,319,388,670,465,792
  5. Step 5: Solve for x
    x = 721,319,388,670,465,792/717,551,032.80
  6. Step 6: Final answer
    x = 1,005,251,690.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.