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Finding the Fourth Proportional to 98,149,384,998.30, 147,224,077,497.45 and 98,149,384,998.30

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Solution

The fourth proportional to 98,149,384,998.30, 147,224,077,497.45 and 98,149,384,998.30 is: 147,224,077,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,149,384,998.30 : 147,224,077,497.45 = 98,149,384,998.30 : x
  2. Step 2: Convert to fraction form
    98,149,384,998.30/147,224,077,497.45 = 98,149,384,998.30/x
  3. Step 3: Cross multiply
    98,149,384,998.30x = 147,224,077,497.45 × 98,149,384,998.30
  4. Step 4: Simplify right side
    98,149,384,998.30x = 14,449,952,663,316,778,188,800
  5. Step 5: Solve for x
    x = 14,449,952,663,316,778,188,800/98,149,384,998.30
  6. Step 6: Final answer
    x = 147,224,077,497.45

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Double scale
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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.