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Finding the Fourth Proportional to 295,065,000.10, 413,695,661.90 and 295,065,000.10

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Solution

The fourth proportional to 295,065,000.10, 413,695,661.90 and 295,065,000.10 is: 413,695,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,065,000.10 : 413,695,661.90 = 295,065,000.10 : x
  2. Step 2: Convert to fraction form
    295,065,000.10/413,695,661.90 = 295,065,000.10/x
  3. Step 3: Cross multiply
    295,065,000.10x = 413,695,661.90 × 295,065,000.10
  4. Step 4: Simplify right side
    295,065,000.10x = 122,067,110,519,893,072
  5. Step 5: Solve for x
    x = 122,067,110,519,893,072/295,065,000.10
  6. Step 6: Final answer
    x = 413,695,661.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.