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Finding the Fourth Proportional to 295,945,210.80, 415,003,539.60 and 295,945,210.80

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Solution

The fourth proportional to 295,945,210.80, 415,003,539.60 and 295,945,210.80 is: 415,003,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,945,210.80 : 415,003,539.60 = 295,945,210.80 : x
  2. Step 2: Convert to fraction form
    295,945,210.80/415,003,539.60 = 295,945,210.80/x
  3. Step 3: Cross multiply
    295,945,210.80x = 415,003,539.60 × 295,945,210.80
  4. Step 4: Simplify right side
    295,945,210.80x = 122,818,310,009,668,160
  5. Step 5: Solve for x
    x = 122,818,310,009,668,160/295,945,210.80
  6. Step 6: Final answer
    x = 415,003,539.60

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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.