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Finding the Fourth Proportional to 102,036,899,624.80, 153,055,349,437.20 and 102,036,899,624.80

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Solution

The fourth proportional to 102,036,899,624.80, 153,055,349,437.20 and 102,036,899,624.80 is: 153,055,349,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,036,899,624.80 : 153,055,349,437.20 = 102,036,899,624.80 : x
  2. Step 2: Convert to fraction form
    102,036,899,624.80/153,055,349,437.20 = 102,036,899,624.80/x
  3. Step 3: Cross multiply
    102,036,899,624.80x = 153,055,349,437.20 × 102,036,899,624.80
  4. Step 4: Simplify right side
    102,036,899,624.80x = 15,617,293,327,562,266,640,384
  5. Step 5: Solve for x
    x = 15,617,293,327,562,266,640,384/102,036,899,624.80
  6. Step 6: Final answer
    x = 153,055,349,437.20

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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.