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Finding the Fourth Proportional to 298,963,309.60, 448,444,964.40 and 83,552,557.60

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Solution

The fourth proportional to 298,963,309.60, 448,444,964.40 and 83,552,557.60 is: 125,328,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,963,309.60 : 448,444,964.40 = 83,552,557.60 : x
  2. Step 2: Convert to fraction form
    298,963,309.60/448,444,964.40 = 83,552,557.60/x
  3. Step 3: Cross multiply
    298,963,309.60x = 448,444,964.40 × 83,552,557.60
  4. Step 4: Simplify right side
    298,963,309.60x = 37,468,723,718,460,944
  5. Step 5: Solve for x
    x = 37,468,723,718,460,944/298,963,309.60
  6. Step 6: Final answer
    x = 125,328,836.40

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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.