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Finding the Fourth Proportional to 9,617,180,854.90, 14,425,771,282.35 and 9,617,180,854.90

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Solution

The fourth proportional to 9,617,180,854.90, 14,425,771,282.35 and 9,617,180,854.90 is: 14,425,771,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617,180,854.90 : 14,425,771,282.35 = 9,617,180,854.90 : x
  2. Step 2: Convert to fraction form
    9,617,180,854.90/14,425,771,282.35 = 9,617,180,854.90/x
  3. Step 3: Cross multiply
    9,617,180,854.90x = 14,425,771,282.35 × 9,617,180,854.90
  4. Step 4: Simplify right side
    9,617,180,854.90x = 138,735,251,393,782,644,736
  5. Step 5: Solve for x
    x = 138,735,251,393,782,644,736/9,617,180,854.90
  6. Step 6: Final answer
    x = 14,425,771,282.35

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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.