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Finding the Fourth Proportional to 145,295,532,048.80, 217,943,298,073.20 and 145,295,532,048.80

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Solution

The fourth proportional to 145,295,532,048.80, 217,943,298,073.20 and 145,295,532,048.80 is: 217,943,298,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,295,532,048.80 : 217,943,298,073.20 = 145,295,532,048.80 : x
  2. Step 2: Convert to fraction form
    145,295,532,048.80/217,943,298,073.20 = 145,295,532,048.80/x
  3. Step 3: Cross multiply
    145,295,532,048.80x = 217,943,298,073.20 × 145,295,532,048.80
  4. Step 4: Simplify right side
    145,295,532,048.80x = 31,666,187,450,015,801,147,392
  5. Step 5: Solve for x
    x = 31,666,187,450,015,801,147,392/145,295,532,048.80
  6. Step 6: Final answer
    x = 217,943,298,073.20

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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.