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Finding the Fourth Proportional to 145,531,751,127.90, 218,297,626,691.85 and 145,531,751,127.90

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Solution

The fourth proportional to 145,531,751,127.90, 218,297,626,691.85 and 145,531,751,127.90 is: 218,297,626,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,531,751,127.90 : 218,297,626,691.85 = 145,531,751,127.90 : x
  2. Step 2: Convert to fraction form
    145,531,751,127.90/218,297,626,691.85 = 145,531,751,127.90/x
  3. Step 3: Cross multiply
    145,531,751,127.90x = 218,297,626,691.85 × 145,531,751,127.90
  4. Step 4: Simplify right side
    145,531,751,127.90x = 31,769,235,879,529,535,242,240
  5. Step 5: Solve for x
    x = 31,769,235,879,529,535,242,240/145,531,751,127.90
  6. Step 6: Final answer
    x = 218,297,626,691.85

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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.