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Finding the Fourth Proportional to 448,052,102.90, 672,078,154.35 and 448,052,102.90

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Solution

The fourth proportional to 448,052,102.90, 672,078,154.35 and 448,052,102.90 is: 672,078,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,052,102.90 : 672,078,154.35 = 448,052,102.90 : x
  2. Step 2: Convert to fraction form
    448,052,102.90/672,078,154.35 = 448,052,102.90/x
  3. Step 3: Cross multiply
    448,052,102.90x = 672,078,154.35 × 448,052,102.90
  4. Step 4: Simplify right side
    448,052,102.90x = 301,126,030,369,668,288
  5. Step 5: Solve for x
    x = 301,126,030,369,668,288/448,052,102.90
  6. Step 6: Final answer
    x = 672,078,154.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.