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Finding the Fourth Proportional to 491,169,657,621.60, 736,754,486,432.40 and 491,169,657,621.60

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Solution

The fourth proportional to 491,169,657,621.60, 736,754,486,432.40 and 491,169,657,621.60 is: 736,754,486,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,169,657,621.60 : 736,754,486,432.40 = 491,169,657,621.60 : x
  2. Step 2: Convert to fraction form
    491,169,657,621.60/736,754,486,432.40 = 491,169,657,621.60/x
  3. Step 3: Cross multiply
    491,169,657,621.60x = 736,754,486,432.40 × 491,169,657,621.60
  4. Step 4: Simplify right side
    491,169,657,621.60x = 361,871,448,852,179,623,870,464
  5. Step 5: Solve for x
    x = 361,871,448,852,179,623,870,464/491,169,657,621.60
  6. Step 6: Final answer
    x = 736,754,486,432.40

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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.