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Finding the Fourth Proportional to 314,928,710.60, 472,393,065.90 and 177,179,203.40

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Solution

The fourth proportional to 314,928,710.60, 472,393,065.90 and 177,179,203.40 is: 265,768,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,710.60 : 472,393,065.90 = 177,179,203.40 : x
  2. Step 2: Convert to fraction form
    314,928,710.60/472,393,065.90 = 177,179,203.40/x
  3. Step 3: Cross multiply
    314,928,710.60x = 472,393,065.90 × 177,179,203.40
  4. Step 4: Simplify right side
    314,928,710.60x = 83,698,227,107,845,696
  5. Step 5: Solve for x
    x = 83,698,227,107,845,696/314,928,710.60
  6. Step 6: Final answer
    x = 265,768,805.10

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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.