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Finding the Fourth Proportional to 305,978,547.84, 422,238,084.48 and 166,746,338.88

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Solution

The fourth proportional to 305,978,547.84, 422,238,084.48 and 166,746,338.88 is: 230,103,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978,547.84 : 422,238,084.48 = 166,746,338.88 : x
  2. Step 2: Convert to fraction form
    305,978,547.84/422,238,084.48 = 166,746,338.88/x
  3. Step 3: Cross multiply
    305,978,547.84x = 422,238,084.48 × 166,746,338.88
  4. Step 4: Simplify right side
    305,978,547.84x = 70,406,654,722,744,152
  5. Step 5: Solve for x
    x = 70,406,654,722,744,152/305,978,547.84
  6. Step 6: Final answer
    x = 230,103,238.35

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Why These Related Problems?

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