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Finding the Fourth Proportional to 295,488,082.05, 414,363,559.35 and 295,488,082.05

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Solution

The fourth proportional to 295,488,082.05, 414,363,559.35 and 295,488,082.05 is: 414,363,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488,082.05 : 414,363,559.35 = 295,488,082.05 : x
  2. Step 2: Convert to fraction form
    295,488,082.05/414,363,559.35 = 295,488,082.05/x
  3. Step 3: Cross multiply
    295,488,082.05x = 414,363,559.35 × 295,488,082.05
  4. Step 4: Simplify right side
    295,488,082.05x = 122,439,493,423,742,864
  5. Step 5: Solve for x
    x = 122,439,493,423,742,864/295,488,082.05
  6. Step 6: Final answer
    x = 414,363,559.35

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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.