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Finding the Fourth Proportional to 355,135,448,270.78, 532,703,172,406.15 and 355,135,448,270.78

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Solution

The fourth proportional to 355,135,448,270.78, 532,703,172,406.15 and 355,135,448,270.78 is: 532,703,172,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,135,448,270.78 : 532,703,172,406.15 = 355,135,448,270.78 : x
  2. Step 2: Convert to fraction form
    355,135,448,270.78/532,703,172,406.15 = 355,135,448,270.78/x
  3. Step 3: Cross multiply
    355,135,448,270.78x = 532,703,172,406.15 × 355,135,448,270.78
  4. Step 4: Simplify right side
    355,135,448,270.78x = 189,181,779,927,724,715,933,696
  5. Step 5: Solve for x
    x = 189,181,779,927,724,715,933,696/355,135,448,270.78
  6. Step 6: Final answer
    x = 532,703,172,406.15

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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.