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Finding the Fourth Proportional to 276,050,915.20, 413,724,703.20 and 146,720,483.20

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Solution

The fourth proportional to 276,050,915.20, 413,724,703.20 and 146,720,483.20 is: 219,893,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,050,915.20 : 413,724,703.20 = 146,720,483.20 : x
  2. Step 2: Convert to fraction form
    276,050,915.20/413,724,703.20 = 146,720,483.20/x
  3. Step 3: Cross multiply
    276,050,915.20x = 413,724,703.20 × 146,720,483.20
  4. Step 4: Simplify right side
    276,050,915.20x = 60,701,888,365,280,576
  5. Step 5: Solve for x
    x = 60,701,888,365,280,576/276,050,915.20
  6. Step 6: Final answer
    x = 219,893,813.14

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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.