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Finding the Fourth Proportional to 657,359,509,500.80, 986,039,264,251.20 and 657,359,509,500.80

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Solution

The fourth proportional to 657,359,509,500.80, 986,039,264,251.20 and 657,359,509,500.80 is: 986,039,264,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,359,509,500.80 : 986,039,264,251.20 = 657,359,509,500.80 : x
  2. Step 2: Convert to fraction form
    657,359,509,500.80/986,039,264,251.20 = 657,359,509,500.80/x
  3. Step 3: Cross multiply
    657,359,509,500.80x = 986,039,264,251.20 × 657,359,509,500.80
  4. Step 4: Simplify right side
    657,359,509,500.80x = 648,182,287,096,698,627,948,544
  5. Step 5: Solve for x
    x = 648,182,287,096,698,627,948,544/657,359,509,500.80
  6. Step 6: Final answer
    x = 986,039,264,251.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.