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Finding the Fourth Proportional to 749,125,211.40, 1,050,497,164.80 and 749,125,211.40

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Solution

The fourth proportional to 749,125,211.40, 1,050,497,164.80 and 749,125,211.40 is: 1,050,497,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,125,211.40 : 1,050,497,164.80 = 749,125,211.40 : x
  2. Step 2: Convert to fraction form
    749,125,211.40/1,050,497,164.80 = 749,125,211.40/x
  3. Step 3: Cross multiply
    749,125,211.40x = 1,050,497,164.80 × 749,125,211.40
  4. Step 4: Simplify right side
    749,125,211.40x = 786,953,910,655,900,544
  5. Step 5: Solve for x
    x = 786,953,910,655,900,544/749,125,211.40
  6. Step 6: Final answer
    x = 1,050,497,164.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.