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Finding the Fourth Proportional to 304,640,162.58, 420,391,633.56 and 165,407,738.16

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Solution

The fourth proportional to 304,640,162.58, 420,391,633.56 and 165,407,738.16 is: 228,256,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,640,162.58 : 420,391,633.56 = 165,407,738.16 : x
  2. Step 2: Convert to fraction form
    304,640,162.58/420,391,633.56 = 165,407,738.16/x
  3. Step 3: Cross multiply
    304,640,162.58x = 420,391,633.56 × 165,407,738.16
  4. Step 4: Simplify right side
    304,640,162.58x = 69,536,029,248,547,144
  5. Step 5: Solve for x
    x = 69,536,029,248,547,144/304,640,162.58
  6. Step 6: Final answer
    x = 228,256,276.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.