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Finding the Fourth Proportional to 706,323,688.40, 1,059,485,532.60 and 706,323,688.40

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Solution

The fourth proportional to 706,323,688.40, 1,059,485,532.60 and 706,323,688.40 is: 1,059,485,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,323,688.40 : 1,059,485,532.60 = 706,323,688.40 : x
  2. Step 2: Convert to fraction form
    706,323,688.40/1,059,485,532.60 = 706,323,688.40/x
  3. Step 3: Cross multiply
    706,323,688.40x = 1,059,485,532.60 × 706,323,688.40
  4. Step 4: Simplify right side
    706,323,688.40x = 748,339,729,192,470,400
  5. Step 5: Solve for x
    x = 748,339,729,192,470,400/706,323,688.40
  6. Step 6: Final answer
    x = 1,059,485,532.60

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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.