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Finding the Fourth Proportional to 1,308,440,961.76, 1,962,678,538 and 435,042,330.06

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Solution

The fourth proportional to 1,308,440,961.76, 1,962,678,538 and 435,042,330.06 is: 652,569,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,440,961.76 : 1,962,678,538 = 435,042,330.06 : x
  2. Step 2: Convert to fraction form
    1,308,440,961.76/1,962,678,538 = 435,042,330.06/x
  3. Step 3: Cross multiply
    1,308,440,961.76x = 1,962,678,538 × 435,042,330.06
  4. Step 4: Simplify right side
    1,308,440,961.76x = 853,848,244,330,274,304
  5. Step 5: Solve for x
    x = 853,848,244,330,274,304/1,308,440,961.76
  6. Step 6: Final answer
    x = 652,569,179.11

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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.