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Finding the Fourth Proportional to 296,249,622.80, 413,729,105.20 and 296,249,622.80

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Solution

The fourth proportional to 296,249,622.80, 413,729,105.20 and 296,249,622.80 is: 413,729,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,249,622.80 : 413,729,105.20 = 296,249,622.80 : x
  2. Step 2: Convert to fraction form
    296,249,622.80/413,729,105.20 = 296,249,622.80/x
  3. Step 3: Cross multiply
    296,249,622.80x = 413,729,105.20 × 296,249,622.80
  4. Step 4: Simplify right side
    296,249,622.80x = 122,567,091,356,881,520
  5. Step 5: Solve for x
    x = 122,567,091,356,881,520/296,249,622.80
  6. Step 6: Final answer
    x = 413,729,105.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.