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Finding the Fourth Proportional to 314,853,670.80, 472,368,979.80 and 153,300,877.20

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Solution

The fourth proportional to 314,853,670.80, 472,368,979.80 and 153,300,877.20 is: 229,994,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,853,670.80 : 472,368,979.80 = 153,300,877.20 : x
  2. Step 2: Convert to fraction form
    314,853,670.80/472,368,979.80 = 153,300,877.20/x
  3. Step 3: Cross multiply
    314,853,670.80x = 472,368,979.80 × 153,300,877.20
  4. Step 4: Simplify right side
    314,853,670.80x = 72,414,578,965,409,072
  5. Step 5: Solve for x
    x = 72,414,578,965,409,072/314,853,670.80
  6. Step 6: Final answer
    x = 229,994,393.21

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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.