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Finding the Fourth Proportional to 278,209,730,412.80, 417,314,595,619.20 and 278,209,730,412.80

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Solution

The fourth proportional to 278,209,730,412.80, 417,314,595,619.20 and 278,209,730,412.80 is: 417,314,595,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,209,730,412.80 : 417,314,595,619.20 = 278,209,730,412.80 : x
  2. Step 2: Convert to fraction form
    278,209,730,412.80/417,314,595,619.20 = 278,209,730,412.80/x
  3. Step 3: Cross multiply
    278,209,730,412.80x = 417,314,595,619.20 × 278,209,730,412.80
  4. Step 4: Simplify right side
    278,209,730,412.80x = 116,100,981,144,544,285,294,592
  5. Step 5: Solve for x
    x = 116,100,981,144,544,285,294,592/278,209,730,412.80
  6. Step 6: Final answer
    x = 417,314,595,619.20

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1.5x scale

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.