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Finding the Fourth Proportional to 57,710,572,215.10, 86,565,858,322.65 and 57,710,572,215.10

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Solution

The fourth proportional to 57,710,572,215.10, 86,565,858,322.65 and 57,710,572,215.10 is: 86,565,858,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710,572,215.10 : 86,565,858,322.65 = 57,710,572,215.10 : x
  2. Step 2: Convert to fraction form
    57,710,572,215.10/86,565,858,322.65 = 57,710,572,215.10/x
  3. Step 3: Cross multiply
    57,710,572,215.10x = 86,565,858,322.65 × 57,710,572,215.10
  4. Step 4: Simplify right side
    57,710,572,215.10x = 4,995,765,218,091,408,031,744
  5. Step 5: Solve for x
    x = 4,995,765,218,091,408,031,744/57,710,572,215.10
  6. Step 6: Final answer
    x = 86,565,858,322.65

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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.