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Finding the Fourth Proportional to 86,026,032,003.80, 129,039,048,005.70 and 86,026,032,003.80

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Solution

The fourth proportional to 86,026,032,003.80, 129,039,048,005.70 and 86,026,032,003.80 is: 129,039,048,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,026,032,003.80 : 129,039,048,005.70 = 86,026,032,003.80 : x
  2. Step 2: Convert to fraction form
    86,026,032,003.80/129,039,048,005.70 = 86,026,032,003.80/x
  3. Step 3: Cross multiply
    86,026,032,003.80x = 129,039,048,005.70 × 86,026,032,003.80
  4. Step 4: Simplify right side
    86,026,032,003.80x = 11,100,717,273,478,233,849,856
  5. Step 5: Solve for x
    x = 11,100,717,273,478,233,849,856/86,026,032,003.80
  6. Step 6: Final answer
    x = 129,039,048,005.70

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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.