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Finding the Fourth Proportional to 14,369,934,974.40, 21,554,902,461.60 and 14,369,934,974.40

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Solution

The fourth proportional to 14,369,934,974.40, 21,554,902,461.60 and 14,369,934,974.40 is: 21,554,902,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369,934,974.40 : 21,554,902,461.60 = 14,369,934,974.40 : x
  2. Step 2: Convert to fraction form
    14,369,934,974.40/21,554,902,461.60 = 14,369,934,974.40/x
  3. Step 3: Cross multiply
    14,369,934,974.40x = 21,554,902,461.60 × 14,369,934,974.40
  4. Step 4: Simplify right side
    14,369,934,974.40x = 309,742,546,752,726,433,792
  5. Step 5: Solve for x
    x = 309,742,546,752,726,433,792/14,369,934,974.40
  6. Step 6: Final answer
    x = 21,554,902,461.60

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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.