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Finding the Fourth Proportional to 9,889,728,045.90, 13,866,003,581.70 and 9,889,728,045.90

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Solution

The fourth proportional to 9,889,728,045.90, 13,866,003,581.70 and 9,889,728,045.90 is: 13,866,003,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889,728,045.90 : 13,866,003,581.70 = 9,889,728,045.90 : x
  2. Step 2: Convert to fraction form
    9,889,728,045.90/13,866,003,581.70 = 9,889,728,045.90/x
  3. Step 3: Cross multiply
    9,889,728,045.90x = 13,866,003,581.70 × 9,889,728,045.90
  4. Step 4: Simplify right side
    9,889,728,045.90x = 137,131,004,506,488,340,480
  5. Step 5: Solve for x
    x = 137,131,004,506,488,340,480/9,889,728,045.90
  6. Step 6: Final answer
    x = 13,866,003,581.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.