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Finding the Fourth Proportional to 145,531,761,330.15, 218,297,641,995.22 and 145,531,761,330.15

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Solution

The fourth proportional to 145,531,761,330.15, 218,297,641,995.22 and 145,531,761,330.15 is: 218,297,641,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,531,761,330.15 : 218,297,641,995.22 = 145,531,761,330.15 : x
  2. Step 2: Convert to fraction form
    145,531,761,330.15/218,297,641,995.22 = 145,531,761,330.15/x
  3. Step 3: Cross multiply
    145,531,761,330.15x = 218,297,641,995.22 × 145,531,761,330.15
  4. Step 4: Simplify right side
    145,531,761,330.15x = 31,769,240,333,782,886,645,760
  5. Step 5: Solve for x
    x = 31,769,240,333,782,886,645,760/145,531,761,330.15
  6. Step 6: Final answer
    x = 218,297,641,995.22

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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.