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Finding the Fourth Proportional to 9,657,926,850.20, 14,486,890,275.30 and 9,657,926,850.20

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Solution

The fourth proportional to 9,657,926,850.20, 14,486,890,275.30 and 9,657,926,850.20 is: 14,486,890,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,926,850.20 : 14,486,890,275.30 = 9,657,926,850.20 : x
  2. Step 2: Convert to fraction form
    9,657,926,850.20/14,486,890,275.30 = 9,657,926,850.20/x
  3. Step 3: Cross multiply
    9,657,926,850.20x = 14,486,890,275.30 × 9,657,926,850.20
  4. Step 4: Simplify right side
    9,657,926,850.20x = 139,913,326,565,721,145,344
  5. Step 5: Solve for x
    x = 139,913,326,565,721,145,344/9,657,926,850.20
  6. Step 6: Final answer
    x = 14,486,890,275.30

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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.