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Finding the Fourth Proportional to 387,117,107,269.60, 580,675,660,904.40 and 387,117,107,269.60

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Solution

The fourth proportional to 387,117,107,269.60, 580,675,660,904.40 and 387,117,107,269.60 is: 580,675,660,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,117,107,269.60 : 580,675,660,904.40 = 387,117,107,269.60 : x
  2. Step 2: Convert to fraction form
    387,117,107,269.60/580,675,660,904.40 = 387,117,107,269.60/x
  3. Step 3: Cross multiply
    387,117,107,269.60x = 580,675,660,904.40 × 387,117,107,269.60
  4. Step 4: Simplify right side
    387,117,107,269.60x = 224,789,482,111,174,474,465,280
  5. Step 5: Solve for x
    x = 224,789,482,111,174,474,465,280/387,117,107,269.60
  6. Step 6: Final answer
    x = 580,675,660,904.40

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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.