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Finding the Fourth Proportional to 82,286,770.30, 123,430,155.45 and 82,286,770.30

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Solution

The fourth proportional to 82,286,770.30, 123,430,155.45 and 82,286,770.30 is: 123,430,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,286,770.30 : 123,430,155.45 = 82,286,770.30 : x
  2. Step 2: Convert to fraction form
    82,286,770.30/123,430,155.45 = 82,286,770.30/x
  3. Step 3: Cross multiply
    82,286,770.30x = 123,430,155.45 × 82,286,770.30
  4. Step 4: Simplify right side
    82,286,770.30x = 10,156,668,849,607,444
  5. Step 5: Solve for x
    x = 10,156,668,849,607,444/82,286,770.30
  6. Step 6: Final answer
    x = 123,430,155.45

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Double scale
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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.