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Finding the Fourth Proportional to 1,049,668,708.95, 1,573,893,916.70 and 496,966,497.30

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Solution

The fourth proportional to 1,049,668,708.95, 1,573,893,916.70 and 496,966,497.30 is: 745,161,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,668,708.95 : 1,573,893,916.70 = 496,966,497.30 : x
  2. Step 2: Convert to fraction form
    1,049,668,708.95/1,573,893,916.70 = 496,966,497.30/x
  3. Step 3: Cross multiply
    1,049,668,708.95x = 1,573,893,916.70 × 496,966,497.30
  4. Step 4: Simplify right side
    1,049,668,708.95x = 782,172,546,901,692,160
  5. Step 5: Solve for x
    x = 782,172,546,901,692,160/1,049,668,708.95
  6. Step 6: Final answer
    x = 745,161,344.94

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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.