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Finding the Fourth Proportional to 160,189,345.20, 240,284,017.80 and 160,189,345.20

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Solution

The fourth proportional to 160,189,345.20, 240,284,017.80 and 160,189,345.20 is: 240,284,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,189,345.20 : 240,284,017.80 = 160,189,345.20 : x
  2. Step 2: Convert to fraction form
    160,189,345.20/240,284,017.80 = 160,189,345.20/x
  3. Step 3: Cross multiply
    160,189,345.20x = 240,284,017.80 × 160,189,345.20
  4. Step 4: Simplify right side
    160,189,345.20x = 38,490,939,473,407,144
  5. Step 5: Solve for x
    x = 38,490,939,473,407,144/160,189,345.20
  6. Step 6: Final answer
    x = 240,284,017.80

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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.