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Finding the Fourth Proportional to 280,091,424.40, 419,853,701.40 and 165,016,733.20

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Solution

The fourth proportional to 280,091,424.40, 419,853,701.40 and 165,016,733.20 is: 247,358,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,091,424.40 : 419,853,701.40 = 165,016,733.20 : x
  2. Step 2: Convert to fraction form
    280,091,424.40/419,853,701.40 = 165,016,733.20/x
  3. Step 3: Cross multiply
    280,091,424.40x = 419,853,701.40 × 165,016,733.20
  4. Step 4: Simplify right side
    280,091,424.40x = 69,282,886,226,956,256
  5. Step 5: Solve for x
    x = 69,282,886,226,956,256/280,091,424.40
  6. Step 6: Final answer
    x = 247,358,113.07

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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.