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Finding the Fourth Proportional to 9,440,071,319.70, 14,132,897,200.35 and 9,440,071,319.70

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Solution

The fourth proportional to 9,440,071,319.70, 14,132,897,200.35 and 9,440,071,319.70 is: 14,132,897,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440,071,319.70 : 14,132,897,200.35 = 9,440,071,319.70 : x
  2. Step 2: Convert to fraction form
    9,440,071,319.70/14,132,897,200.35 = 9,440,071,319.70/x
  3. Step 3: Cross multiply
    9,440,071,319.70x = 14,132,897,200.35 × 9,440,071,319.70
  4. Step 4: Simplify right side
    9,440,071,319.70x = 133,415,557,525,292,466,176
  5. Step 5: Solve for x
    x = 133,415,557,525,292,466,176/9,440,071,319.70
  6. Step 6: Final answer
    x = 14,132,897,200.35

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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.