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Finding the Fourth Proportional to 9,857,135.40, 14,785,703.10 and 9,857,135.40

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Solution

The fourth proportional to 9,857,135.40, 14,785,703.10 and 9,857,135.40 is: 14,785,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,135.40 : 14,785,703.10 = 9,857,135.40 : x
  2. Step 2: Convert to fraction form
    9,857,135.40/14,785,703.10 = 9,857,135.40/x
  3. Step 3: Cross multiply
    9,857,135.40x = 14,785,703.10 × 9,857,135.40
  4. Step 4: Simplify right side
    9,857,135.40x = 145,744,677,440,899.75
  5. Step 5: Solve for x
    x = 145,744,677,440,899.75/9,857,135.40
  6. Step 6: Final answer
    x = 14,785,703.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.