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Finding the Fourth Proportional to 123,516,223,209.60, 185,274,334,814.40 and 123,516,223,209.60

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Solution

The fourth proportional to 123,516,223,209.60, 185,274,334,814.40 and 123,516,223,209.60 is: 185,274,334,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,516,223,209.60 : 185,274,334,814.40 = 123,516,223,209.60 : x
  2. Step 2: Convert to fraction form
    123,516,223,209.60/185,274,334,814.40 = 123,516,223,209.60/x
  3. Step 3: Cross multiply
    123,516,223,209.60x = 185,274,334,814.40 × 123,516,223,209.60
  4. Step 4: Simplify right side
    123,516,223,209.60x = 22,884,386,093,945,596,149,760
  5. Step 5: Solve for x
    x = 22,884,386,093,945,596,149,760/123,516,223,209.60
  6. Step 6: Final answer
    x = 185,274,334,814.40

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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.