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Finding the Fourth Proportional to 310,287,389,977.80, 465,431,084,966.70 and 310,287,389,977.80

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Solution

The fourth proportional to 310,287,389,977.80, 465,431,084,966.70 and 310,287,389,977.80 is: 465,431,084,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287,389,977.80 : 465,431,084,966.70 = 310,287,389,977.80 : x
  2. Step 2: Convert to fraction form
    310,287,389,977.80/465,431,084,966.70 = 310,287,389,977.80/x
  3. Step 3: Cross multiply
    310,287,389,977.80x = 465,431,084,966.70 × 310,287,389,977.80
  4. Step 4: Simplify right side
    310,287,389,977.80x = 144,417,396,568,853,001,011,200
  5. Step 5: Solve for x
    x = 144,417,396,568,853,001,011,200/310,287,389,977.80
  6. Step 6: Final answer
    x = 465,431,084,966.70

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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.