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Finding the Fourth Proportional to 674,007,751.40, 1,011,011,627.10 and 674,007,751.40

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Solution

The fourth proportional to 674,007,751.40, 1,011,011,627.10 and 674,007,751.40 is: 1,011,011,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,007,751.40 : 1,011,011,627.10 = 674,007,751.40 : x
  2. Step 2: Convert to fraction form
    674,007,751.40/1,011,011,627.10 = 674,007,751.40/x
  3. Step 3: Cross multiply
    674,007,751.40x = 1,011,011,627.10 × 674,007,751.40
  4. Step 4: Simplify right side
    674,007,751.40x = 681,429,673,420,926,336
  5. Step 5: Solve for x
    x = 681,429,673,420,926,336/674,007,751.40
  6. Step 6: Final answer
    x = 1,011,011,627.10

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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.