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Finding the Fourth Proportional to 213,690,829.04, 294,890,450.16 and 119,604,948

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Solution

The fourth proportional to 213,690,829.04, 294,890,450.16 and 119,604,948 is: 165,053,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,690,829.04 : 294,890,450.16 = 119,604,948 : x
  2. Step 2: Convert to fraction form
    213,690,829.04/294,890,450.16 = 119,604,948/x
  3. Step 3: Cross multiply
    213,690,829.04x = 294,890,450.16 × 119,604,948
  4. Step 4: Simplify right side
    213,690,829.04x = 35,270,356,957,083,396
  5. Step 5: Solve for x
    x = 35,270,356,957,083,396/213,690,829.04
  6. Step 6: Final answer
    x = 165,053,208.49

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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.