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Finding the Fourth Proportional to 865,766,511.64, 1,195,750,701.30 and 569,730,346.57

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Solution

The fourth proportional to 865,766,511.64, 1,195,750,701.30 and 569,730,346.57 is: 786,881,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,766,511.64 : 1,195,750,701.30 = 569,730,346.57 : x
  2. Step 2: Convert to fraction form
    865,766,511.64/1,195,750,701.30 = 569,730,346.57/x
  3. Step 3: Cross multiply
    865,766,511.64x = 1,195,750,701.30 × 569,730,346.57
  4. Step 4: Simplify right side
    865,766,511.64x = 681,255,461,462,969,600
  5. Step 5: Solve for x
    x = 681,255,461,462,969,600/865,766,511.64
  6. Step 6: Final answer
    x = 786,881,280.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.