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Finding the Fourth Proportional to 299,280,301.80, 448,920,452.70 and 176,836,295.40

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Solution

The fourth proportional to 299,280,301.80, 448,920,452.70 and 176,836,295.40 is: 265,254,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,280,301.80 : 448,920,452.70 = 176,836,295.40 : x
  2. Step 2: Convert to fraction form
    299,280,301.80/448,920,452.70 = 176,836,295.40/x
  3. Step 3: Cross multiply
    299,280,301.80x = 448,920,452.70 × 176,836,295.40
  4. Step 4: Simplify right side
    299,280,301.80x = 79,385,429,784,758,928
  5. Step 5: Solve for x
    x = 79,385,429,784,758,928/299,280,301.80
  6. Step 6: Final answer
    x = 265,254,443.10

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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.