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Finding the Fourth Proportional to 282,728,663,999.90, 424,092,995,999.85 and 282,728,663,999.90

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Solution

The fourth proportional to 282,728,663,999.90, 424,092,995,999.85 and 282,728,663,999.90 is: 424,092,995,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,728,663,999.90 : 424,092,995,999.85 = 282,728,663,999.90 : x
  2. Step 2: Convert to fraction form
    282,728,663,999.90/424,092,995,999.85 = 282,728,663,999.90/x
  3. Step 3: Cross multiply
    282,728,663,999.90x = 424,092,995,999.85 × 282,728,663,999.90
  4. Step 4: Simplify right side
    282,728,663,999.90x = 119,903,246,170,752,534,183,936
  5. Step 5: Solve for x
    x = 119,903,246,170,752,534,183,936/282,728,663,999.90
  6. Step 6: Final answer
    x = 424,092,995,999.85

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1.5x scale

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.