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Finding the Fourth Proportional to 87,020,783,999.70, 130,531,175,999.55 and 87,020,783,999.70

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Solution

The fourth proportional to 87,020,783,999.70, 130,531,175,999.55 and 87,020,783,999.70 is: 130,531,175,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,020,783,999.70 : 130,531,175,999.55 = 87,020,783,999.70 : x
  2. Step 2: Convert to fraction form
    87,020,783,999.70/130,531,175,999.55 = 87,020,783,999.70/x
  3. Step 3: Cross multiply
    87,020,783,999.70x = 130,531,175,999.55 × 87,020,783,999.70
  4. Step 4: Simplify right side
    87,020,783,999.70x = 11,358,925,271,883,665,375,232
  5. Step 5: Solve for x
    x = 11,358,925,271,883,665,375,232/87,020,783,999.70
  6. Step 6: Final answer
    x = 130,531,175,999.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.