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Finding the Fourth Proportional to 283,248,045.90, 424,200,222.45 and 283,248,045.90

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Solution

The fourth proportional to 283,248,045.90, 424,200,222.45 and 283,248,045.90 is: 424,200,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,248,045.90 : 424,200,222.45 = 283,248,045.90 : x
  2. Step 2: Convert to fraction form
    283,248,045.90/424,200,222.45 = 283,248,045.90/x
  3. Step 3: Cross multiply
    283,248,045.90x = 424,200,222.45 × 283,248,045.90
  4. Step 4: Simplify right side
    283,248,045.90x = 120,153,884,079,307,792
  5. Step 5: Solve for x
    x = 120,153,884,079,307,792/283,248,045.90
  6. Step 6: Final answer
    x = 424,200,222.45

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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.