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Finding the Fourth Proportional to 14,516,616,266.70, 21,774,924,400.05 and 14,516,616,266.70

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Solution

The fourth proportional to 14,516,616,266.70, 21,774,924,400.05 and 14,516,616,266.70 is: 21,774,924,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516,616,266.70 : 21,774,924,400.05 = 14,516,616,266.70 : x
  2. Step 2: Convert to fraction form
    14,516,616,266.70/21,774,924,400.05 = 14,516,616,266.70/x
  3. Step 3: Cross multiply
    14,516,616,266.70x = 21,774,924,400.05 × 14,516,616,266.70
  4. Step 4: Simplify right side
    14,516,616,266.70x = 316,098,221,751,928,553,472
  5. Step 5: Solve for x
    x = 316,098,221,751,928,553,472/14,516,616,266.70
  6. Step 6: Final answer
    x = 21,774,924,400.05

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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.