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Finding the Fourth Proportional to 865,766,512.64, 1,195,750,702.68 and 569,730,347.57

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Solution

The fourth proportional to 865,766,512.64, 1,195,750,702.68 and 569,730,347.57 is: 786,881,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,766,512.64 : 1,195,750,702.68 = 569,730,347.57 : x
  2. Step 2: Convert to fraction form
    865,766,512.64/1,195,750,702.68 = 569,730,347.57/x
  3. Step 3: Cross multiply
    865,766,512.64x = 1,195,750,702.68 × 569,730,347.57
  4. Step 4: Simplify right side
    865,766,512.64x = 681,255,463,444,948,224
  5. Step 5: Solve for x
    x = 681,255,463,444,948,224/865,766,512.64
  6. Step 6: Final answer
    x = 786,881,282.08

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