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Finding the Fourth Proportional to 105,778,852.10, 158,668,278.15 and 105,778,852.10

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Solution

The fourth proportional to 105,778,852.10, 158,668,278.15 and 105,778,852.10 is: 158,668,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,778,852.10 : 158,668,278.15 = 105,778,852.10 : x
  2. Step 2: Convert to fraction form
    105,778,852.10/158,668,278.15 = 105,778,852.10/x
  3. Step 3: Cross multiply
    105,778,852.10x = 158,668,278.15 × 105,778,852.10
  4. Step 4: Simplify right side
    105,778,852.10x = 16,783,748,327,390,512
  5. Step 5: Solve for x
    x = 16,783,748,327,390,512/105,778,852.10
  6. Step 6: Final answer
    x = 158,668,278.15

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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.