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Finding the Fourth Proportional to 1,154,577,689.73, 1,731,866,503.95 and 532,608,901.57

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Solution

The fourth proportional to 1,154,577,689.73, 1,731,866,503.95 and 532,608,901.57 is: 798,913,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,577,689.73 : 1,731,866,503.95 = 532,608,901.57 : x
  2. Step 2: Convert to fraction form
    1,154,577,689.73/1,731,866,503.95 = 532,608,901.57/x
  3. Step 3: Cross multiply
    1,154,577,689.73x = 1,731,866,503.95 × 532,608,901.57
  4. Step 4: Simplify right side
    1,154,577,689.73x = 922,407,516,326,026,240
  5. Step 5: Solve for x
    x = 922,407,516,326,026,240/1,154,577,689.73
  6. Step 6: Final answer
    x = 798,913,338.21

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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.