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Finding the Fourth Proportional to 295,066,705.60, 413,698,049.60 and 295,066,705.60

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Solution

The fourth proportional to 295,066,705.60, 413,698,049.60 and 295,066,705.60 is: 413,698,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,066,705.60 : 413,698,049.60 = 295,066,705.60 : x
  2. Step 2: Convert to fraction form
    295,066,705.60/413,698,049.60 = 295,066,705.60/x
  3. Step 3: Cross multiply
    295,066,705.60x = 413,698,049.60 × 295,066,705.60
  4. Step 4: Simplify right side
    295,066,705.60x = 122,068,520,608,617,408
  5. Step 5: Solve for x
    x = 122,068,520,608,617,408/295,066,705.60
  6. Step 6: Final answer
    x = 413,698,049.60

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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.