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Finding the Fourth Proportional to 442,368,003.70, 663,552,005.55 and 155,182,698.10

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Solution

The fourth proportional to 442,368,003.70, 663,552,005.55 and 155,182,698.10 is: 232,774,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,368,003.70 : 663,552,005.55 = 155,182,698.10 : x
  2. Step 2: Convert to fraction form
    442,368,003.70/663,552,005.55 = 155,182,698.10/x
  3. Step 3: Cross multiply
    442,368,003.70x = 663,552,005.55 × 155,182,698.10
  4. Step 4: Simplify right side
    442,368,003.70x = 102,971,790,550,915,168
  5. Step 5: Solve for x
    x = 102,971,790,550,915,168/442,368,003.70
  6. Step 6: Final answer
    x = 232,774,047.15

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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.