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Finding the Fourth Proportional to 712,497,659.70, 1,068,746,489.55 and 712,497,659.70

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Solution

The fourth proportional to 712,497,659.70, 1,068,746,489.55 and 712,497,659.70 is: 1,068,746,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,497,659.70 : 1,068,746,489.55 = 712,497,659.70 : x
  2. Step 2: Convert to fraction form
    712,497,659.70/1,068,746,489.55 = 712,497,659.70/x
  3. Step 3: Cross multiply
    712,497,659.70x = 1,068,746,489.55 × 712,497,659.70
  4. Step 4: Simplify right side
    712,497,659.70x = 761,479,372,616,965,504
  5. Step 5: Solve for x
    x = 761,479,372,616,965,504/712,497,659.70
  6. Step 6: Final answer
    x = 1,068,746,489.55

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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.