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Finding the Fourth Proportional to 296,249,430.80, 413,728,836.40 and 296,249,430.80

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Solution

The fourth proportional to 296,249,430.80, 413,728,836.40 and 296,249,430.80 is: 413,728,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,249,430.80 : 413,728,836.40 = 296,249,430.80 : x
  2. Step 2: Convert to fraction form
    296,249,430.80/413,728,836.40 = 296,249,430.80/x
  3. Step 3: Cross multiply
    296,249,430.80x = 413,728,836.40 × 296,249,430.80
  4. Step 4: Simplify right side
    296,249,430.80x = 122,566,932,289,046,320
  5. Step 5: Solve for x
    x = 122,566,932,289,046,320/296,249,430.80
  6. Step 6: Final answer
    x = 413,728,836.40

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1.5x scale

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.