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Finding the Fourth Proportional to 9,578,035.70, 13,442,842.30 and 9,578,035.70

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Solution

The fourth proportional to 9,578,035.70, 13,442,842.30 and 9,578,035.70 is: 13,442,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578,035.70 : 13,442,842.30 = 9,578,035.70 : x
  2. Step 2: Convert to fraction form
    9,578,035.70/13,442,842.30 = 9,578,035.70/x
  3. Step 3: Cross multiply
    9,578,035.70x = 13,442,842.30 × 9,578,035.70
  4. Step 4: Simplify right side
    9,578,035.70x = 128,756,023,458,870.11
  5. Step 5: Solve for x
    x = 128,756,023,458,870.11/9,578,035.70
  6. Step 6: Final answer
    x = 13,442,842.30

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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.