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Finding the Fourth Proportional to 160,310,106,700.20, 240,465,160,050.30 and 160,310,106,700.20

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Solution

The fourth proportional to 160,310,106,700.20, 240,465,160,050.30 and 160,310,106,700.20 is: 240,465,160,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,310,106,700.20 : 240,465,160,050.30 = 160,310,106,700.20 : x
  2. Step 2: Convert to fraction form
    160,310,106,700.20/240,465,160,050.30 = 160,310,106,700.20/x
  3. Step 3: Cross multiply
    160,310,106,700.20x = 240,465,160,050.30 × 160,310,106,700.20
  4. Step 4: Simplify right side
    160,310,106,700.20x = 38,548,995,465,344,266,010,624
  5. Step 5: Solve for x
    x = 38,548,995,465,344,266,010,624/160,310,106,700.20
  6. Step 6: Final answer
    x = 240,465,160,050.30

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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.