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Finding the Fourth Proportional to 314,928,709.60, 472,393,064.40 and 265,044,114.40

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Solution

The fourth proportional to 314,928,709.60, 472,393,064.40 and 265,044,114.40 is: 397,566,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,709.60 : 472,393,064.40 = 265,044,114.40 : x
  2. Step 2: Convert to fraction form
    314,928,709.60/472,393,064.40 = 265,044,114.40/x
  3. Step 3: Cross multiply
    314,928,709.60x = 472,393,064.40 × 265,044,114.40
  4. Step 4: Simplify right side
    314,928,709.60x = 125,205,001,402,600,160
  5. Step 5: Solve for x
    x = 125,205,001,402,600,160/314,928,709.60
  6. Step 6: Final answer
    x = 397,566,171.60

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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.