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Finding the Fourth Proportional to 295,949,897.55, 415,010,101.05 and 295,949,897.55

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Solution

The fourth proportional to 295,949,897.55, 415,010,101.05 and 295,949,897.55 is: 415,010,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,949,897.55 : 415,010,101.05 = 295,949,897.55 : x
  2. Step 2: Convert to fraction form
    295,949,897.55/415,010,101.05 = 295,949,897.55/x
  3. Step 3: Cross multiply
    295,949,897.55x = 415,010,101.05 × 295,949,897.55
  4. Step 4: Simplify right side
    295,949,897.55x = 122,822,196,887,962,656
  5. Step 5: Solve for x
    x = 122,822,196,887,962,656/295,949,897.55
  6. Step 6: Final answer
    x = 415,010,101.05

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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.