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Finding the Fourth Proportional to 671,092,429.04, 1,006,674,516 and 211,066,470.80

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Solution

The fourth proportional to 671,092,429.04, 1,006,674,516 and 211,066,470.80 is: 316,610,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,092,429.04 : 1,006,674,516 = 211,066,470.80 : x
  2. Step 2: Convert to fraction form
    671,092,429.04/1,006,674,516 = 211,066,470.80/x
  3. Step 3: Cross multiply
    671,092,429.04x = 1,006,674,516 × 211,066,470.80
  4. Step 4: Simplify right side
    671,092,429.04x = 212,475,237,336,418,144
  5. Step 5: Solve for x
    x = 212,475,237,336,418,144/671,092,429.04
  6. Step 6: Final answer
    x = 316,610,988.50

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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.