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Finding the Fourth Proportional to 700,097,627.40, 1,050,146,441.12 and 700,097,627.40

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Solution

The fourth proportional to 700,097,627.40, 1,050,146,441.12 and 700,097,627.40 is: 1,050,146,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,097,627.40 : 1,050,146,441.12 = 700,097,627.40 : x
  2. Step 2: Convert to fraction form
    700,097,627.40/1,050,146,441.12 = 700,097,627.40/x
  3. Step 3: Cross multiply
    700,097,627.40x = 1,050,146,441.12 × 700,097,627.40
  4. Step 4: Simplify right side
    700,097,627.40x = 735,205,031,850,665,728
  5. Step 5: Solve for x
    x = 735,205,031,850,665,728/700,097,627.40
  6. Step 6: Final answer
    x = 1,050,146,441.12

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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.