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Finding the Fourth Proportional to 552,882,382.74, 829,326,674.40 and 184,416,323.46

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Solution

The fourth proportional to 552,882,382.74, 829,326,674.40 and 184,416,323.46 is: 276,625,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,882,382.74 : 829,326,674.40 = 184,416,323.46 : x
  2. Step 2: Convert to fraction form
    552,882,382.74/829,326,674.40 = 184,416,323.46/x
  3. Step 3: Cross multiply
    552,882,382.74x = 829,326,674.40 × 184,416,323.46
  4. Step 4: Simplify right side
    552,882,382.74x = 152,941,376,240,156,512
  5. Step 5: Solve for x
    x = 152,941,376,240,156,512/552,882,382.74
  6. Step 6: Final answer
    x = 276,625,519.31

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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.