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Finding the Fourth Proportional to 1,168,123,502.46, 1,612,010,465.19 and 646,602,734.46

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Solution

The fourth proportional to 1,168,123,502.46, 1,612,010,465.19 and 646,602,734.46 is: 892,311,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,123,502.46 : 1,612,010,465.19 = 646,602,734.46 : x
  2. Step 2: Convert to fraction form
    1,168,123,502.46/1,612,010,465.19 = 646,602,734.46/x
  3. Step 3: Cross multiply
    1,168,123,502.46x = 1,612,010,465.19 × 646,602,734.46
  4. Step 4: Simplify right side
    1,168,123,502.46x = 1,042,330,374,769,990,784
  5. Step 5: Solve for x
    x = 1,042,330,374,769,990,784/1,168,123,502.46
  6. Step 6: Final answer
    x = 892,311,791.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.