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Finding the Fourth Proportional to 82,971,322.70, 124,217,835.60 and 82,971,322.70

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Solution

The fourth proportional to 82,971,322.70, 124,217,835.60 and 82,971,322.70 is: 124,217,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,971,322.70 : 124,217,835.60 = 82,971,322.70 : x
  2. Step 2: Convert to fraction form
    82,971,322.70/124,217,835.60 = 82,971,322.70/x
  3. Step 3: Cross multiply
    82,971,322.70x = 124,217,835.60 × 82,971,322.70
  4. Step 4: Simplify right side
    82,971,322.70x = 10,306,518,122,663,148
  5. Step 5: Solve for x
    x = 10,306,518,122,663,148/82,971,322.70
  6. Step 6: Final answer
    x = 124,217,835.60

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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.