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Finding the Fourth Proportional to 510,338,658.40, 765,507,998.40 and 146,833,014.40

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Solution

The fourth proportional to 510,338,658.40, 765,507,998.40 and 146,833,014.40 is: 220,249,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,338,658.40 : 765,507,998.40 = 146,833,014.40 : x
  2. Step 2: Convert to fraction form
    510,338,658.40/765,507,998.40 = 146,833,014.40/x
  3. Step 3: Cross multiply
    510,338,658.40x = 765,507,998.40 × 146,833,014.40
  4. Step 4: Simplify right side
    510,338,658.40x = 112,401,846,952,382,384
  5. Step 5: Solve for x
    x = 112,401,846,952,382,384/510,338,658.40
  6. Step 6: Final answer
    x = 220,249,524.71

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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.