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Finding the Fourth Proportional to 9,965,799.90, 13,961,567.70 and 9,965,799.90

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Solution

The fourth proportional to 9,965,799.90, 13,961,567.70 and 9,965,799.90 is: 13,961,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965,799.90 : 13,961,567.70 = 9,965,799.90 : x
  2. Step 2: Convert to fraction form
    9,965,799.90/13,961,567.70 = 9,965,799.90/x
  3. Step 3: Cross multiply
    9,965,799.90x = 13,961,567.70 × 9,965,799.90
  4. Step 4: Simplify right side
    9,965,799.90x = 139,138,189,988,503.23
  5. Step 5: Solve for x
    x = 139,138,189,988,503.23/9,965,799.90
  6. Step 6: Final answer
    x = 13,961,567.70

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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.