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Finding the Fourth Proportional to 160,899,048,035.70, 241,348,572,053.55 and 160,899,048,035.70

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Solution

The fourth proportional to 160,899,048,035.70, 241,348,572,053.55 and 160,899,048,035.70 is: 241,348,572,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,899,048,035.70 : 241,348,572,053.55 = 160,899,048,035.70 : x
  2. Step 2: Convert to fraction form
    160,899,048,035.70/241,348,572,053.55 = 160,899,048,035.70/x
  3. Step 3: Cross multiply
    160,899,048,035.70x = 241,348,572,053.55 × 160,899,048,035.70
  4. Step 4: Simplify right side
    160,899,048,035.70x = 38,832,755,488,191,741,427,712
  5. Step 5: Solve for x
    x = 38,832,755,488,191,741,427,712/160,899,048,035.70
  6. Step 6: Final answer
    x = 241,348,572,053.55

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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.