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Finding the Fourth Proportional to 9,419,348,536.10, 14,098,411,802.55 and 9,419,348,536.10

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Solution

The fourth proportional to 9,419,348,536.10, 14,098,411,802.55 and 9,419,348,536.10 is: 14,098,411,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419,348,536.10 : 14,098,411,802.55 = 9,419,348,536.10 : x
  2. Step 2: Convert to fraction form
    9,419,348,536.10/14,098,411,802.55 = 9,419,348,536.10/x
  3. Step 3: Cross multiply
    9,419,348,536.10x = 14,098,411,802.55 × 9,419,348,536.10
  4. Step 4: Simplify right side
    9,419,348,536.10x = 132,797,854,573,684,310,016
  5. Step 5: Solve for x
    x = 132,797,854,573,684,310,016/9,419,348,536.10
  6. Step 6: Final answer
    x = 14,098,411,802.55

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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.