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Finding the Fourth Proportional to 451,737,009.40, 676,330,055.70 and 451,737,009.40

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Solution

The fourth proportional to 451,737,009.40, 676,330,055.70 and 451,737,009.40 is: 676,330,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,737,009.40 : 676,330,055.70 = 451,737,009.40 : x
  2. Step 2: Convert to fraction form
    451,737,009.40/676,330,055.70 = 451,737,009.40/x
  3. Step 3: Cross multiply
    451,737,009.40x = 676,330,055.70 × 451,737,009.40
  4. Step 4: Simplify right side
    451,737,009.40x = 305,523,316,729,253,440
  5. Step 5: Solve for x
    x = 305,523,316,729,253,440/451,737,009.40
  6. Step 6: Final answer
    x = 676,330,055.70

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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.