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Finding the Fourth Proportional to 906,795,841.57, 1,360,712,088.65 and 492,306,363.70

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Solution

The fourth proportional to 906,795,841.57, 1,360,712,088.65 and 492,306,363.70 is: 738,740,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,795,841.57 : 1,360,712,088.65 = 492,306,363.70 : x
  2. Step 2: Convert to fraction form
    906,795,841.57/1,360,712,088.65 = 492,306,363.70/x
  3. Step 3: Cross multiply
    906,795,841.57x = 1,360,712,088.65 × 492,306,363.70
  4. Step 4: Simplify right side
    906,795,841.57x = 669,887,220,403,452,032
  5. Step 5: Solve for x
    x = 669,887,220,403,452,032/906,795,841.57
  6. Step 6: Final answer
    x = 738,740,948.84

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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.