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Finding the Fourth Proportional to 295,066,140.10, 413,697,257.90 and 295,066,140.10

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Solution

The fourth proportional to 295,066,140.10, 413,697,257.90 and 295,066,140.10 is: 413,697,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,066,140.10 : 413,697,257.90 = 295,066,140.10 : x
  2. Step 2: Convert to fraction form
    295,066,140.10/413,697,257.90 = 295,066,140.10/x
  3. Step 3: Cross multiply
    295,066,140.10x = 413,697,257.90 × 295,066,140.10
  4. Step 4: Simplify right side
    295,066,140.10x = 122,068,053,058,507,232
  5. Step 5: Solve for x
    x = 122,068,053,058,507,232/295,066,140.10
  6. Step 6: Final answer
    x = 413,697,257.90

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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.