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Finding the Fourth Proportional to 1,513,361,565.30, 2,270,042,347.95 and 1,513,361,565.30

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Solution

The fourth proportional to 1,513,361,565.30, 2,270,042,347.95 and 1,513,361,565.30 is: 2,270,042,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513,361,565.30 : 2,270,042,347.95 = 1,513,361,565.30 : x
  2. Step 2: Convert to fraction form
    1,513,361,565.30/2,270,042,347.95 = 1,513,361,565.30/x
  3. Step 3: Cross multiply
    1,513,361,565.30x = 2,270,042,347.95 × 1,513,361,565.30
  4. Step 4: Simplify right side
    1,513,361,565.30x = 3,435,394,840,990,898,688
  5. Step 5: Solve for x
    x = 3,435,394,840,990,898,688/1,513,361,565.30
  6. Step 6: Final answer
    x = 2,270,042,347.95

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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.