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Finding the Fourth Proportional to 105,778,853.10, 158,668,279.65 and 105,778,853.10

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Solution

The fourth proportional to 105,778,853.10, 158,668,279.65 and 105,778,853.10 is: 158,668,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,778,853.10 : 158,668,279.65 = 105,778,853.10 : x
  2. Step 2: Convert to fraction form
    105,778,853.10/158,668,279.65 = 105,778,853.10/x
  3. Step 3: Cross multiply
    105,778,853.10x = 158,668,279.65 × 105,778,853.10
  4. Step 4: Simplify right side
    105,778,853.10x = 16,783,748,644,727,070
  5. Step 5: Solve for x
    x = 16,783,748,644,727,070/105,778,853.10
  6. Step 6: Final answer
    x = 158,668,279.65

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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.