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Finding the Fourth Proportional to 57,710,567,117.70, 86,428,101,169.35 and 57,710,567,117.70

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Solution

The fourth proportional to 57,710,567,117.70, 86,428,101,169.35 and 57,710,567,117.70 is: 86,428,101,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710,567,117.70 : 86,428,101,169.35 = 57,710,567,117.70 : x
  2. Step 2: Convert to fraction form
    57,710,567,117.70/86,428,101,169.35 = 57,710,567,117.70/x
  3. Step 3: Cross multiply
    57,710,567,117.70x = 86,428,101,169.35 × 57,710,567,117.70
  4. Step 4: Simplify right side
    57,710,567,117.70x = 4,987,814,733,389,138,755,584
  5. Step 5: Solve for x
    x = 4,987,814,733,389,138,755,584/57,710,567,117.70
  6. Step 6: Final answer
    x = 86,428,101,169.35

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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.