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Finding the Fourth Proportional to 9,617,180,862.90, 14,425,771,294.35 and 9,617,180,862.90

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Solution

The fourth proportional to 9,617,180,862.90, 14,425,771,294.35 and 9,617,180,862.90 is: 14,425,771,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617,180,862.90 : 14,425,771,294.35 = 9,617,180,862.90 : x
  2. Step 2: Convert to fraction form
    9,617,180,862.90/14,425,771,294.35 = 9,617,180,862.90/x
  3. Step 3: Cross multiply
    9,617,180,862.90x = 14,425,771,294.35 × 9,617,180,862.90
  4. Step 4: Simplify right side
    9,617,180,862.90x = 138,735,251,624,594,980,864
  5. Step 5: Solve for x
    x = 138,735,251,624,594,980,864/9,617,180,862.90
  6. Step 6: Final answer
    x = 14,425,771,294.35

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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.