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Finding the Fourth Proportional to 504,176,893.60, 756,265,340.40 and 314,936,658.40

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Solution

The fourth proportional to 504,176,893.60, 756,265,340.40 and 314,936,658.40 is: 472,404,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,176,893.60 : 756,265,340.40 = 314,936,658.40 : x
  2. Step 2: Convert to fraction form
    504,176,893.60/756,265,340.40 = 314,936,658.40/x
  3. Step 3: Cross multiply
    504,176,893.60x = 756,265,340.40 × 314,936,658.40
  4. Step 4: Simplify right side
    504,176,893.60x = 238,175,679,169,314,496
  5. Step 5: Solve for x
    x = 238,175,679,169,314,496/504,176,893.60
  6. Step 6: Final answer
    x = 472,404,987.60

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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.