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Finding the Fourth Proportional to 105,885,902.65, 158,828,853.98 and 105,885,902.65

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Solution

The fourth proportional to 105,885,902.65, 158,828,853.98 and 105,885,902.65 is: 158,828,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885,902.65 : 158,828,853.98 = 105,885,902.65 : x
  2. Step 2: Convert to fraction form
    105,885,902.65/158,828,853.98 = 105,885,902.65/x
  3. Step 3: Cross multiply
    105,885,902.65x = 158,828,853.98 × 105,885,902.65
  4. Step 4: Simplify right side
    105,885,902.65x = 16,817,736,570,537,344
  5. Step 5: Solve for x
    x = 16,817,736,570,537,344/105,885,902.65
  6. Step 6: Final answer
    x = 158,828,853.98

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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.