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Finding the Fourth Proportional to 9,657,926,814.20, 14,486,890,221.30 and 9,657,926,814.20

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Solution

The fourth proportional to 9,657,926,814.20, 14,486,890,221.30 and 9,657,926,814.20 is: 14,486,890,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,926,814.20 : 14,486,890,221.30 = 9,657,926,814.20 : x
  2. Step 2: Convert to fraction form
    9,657,926,814.20/14,486,890,221.30 = 9,657,926,814.20/x
  3. Step 3: Cross multiply
    9,657,926,814.20x = 14,486,890,221.30 × 9,657,926,814.20
  4. Step 4: Simplify right side
    9,657,926,814.20x = 139,913,325,522,665,046,016
  5. Step 5: Solve for x
    x = 139,913,325,522,665,046,016/9,657,926,814.20
  6. Step 6: Final answer
    x = 14,486,890,221.30

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Why These Related Problems?

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