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Finding the Fourth Proportional to 295,974,009.40, 415,270,605.80 and 295,974,009.40

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Solution

The fourth proportional to 295,974,009.40, 415,270,605.80 and 295,974,009.40 is: 415,270,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,974,009.40 : 415,270,605.80 = 295,974,009.40 : x
  2. Step 2: Convert to fraction form
    295,974,009.40/415,270,605.80 = 295,974,009.40/x
  3. Step 3: Cross multiply
    295,974,009.40x = 415,270,605.80 × 295,974,009.40
  4. Step 4: Simplify right side
    295,974,009.40x = 122,909,306,184,592,896
  5. Step 5: Solve for x
    x = 122,909,306,184,592,896/295,974,009.40
  6. Step 6: Final answer
    x = 415,270,605.80

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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.