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Finding the Fourth Proportional to 294,974,429.20, 442,461,643.80 and 294,974,429.20

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Solution

The fourth proportional to 294,974,429.20, 442,461,643.80 and 294,974,429.20 is: 442,461,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,974,429.20 : 442,461,643.80 = 294,974,429.20 : x
  2. Step 2: Convert to fraction form
    294,974,429.20/442,461,643.80 = 294,974,429.20/x
  3. Step 3: Cross multiply
    294,974,429.20x = 442,461,643.80 × 294,974,429.20
  4. Step 4: Simplify right side
    294,974,429.20x = 130,514,870,822,798,720
  5. Step 5: Solve for x
    x = 130,514,870,822,798,720/294,974,429.20
  6. Step 6: Final answer
    x = 442,461,643.80

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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.