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Finding the Fourth Proportional to 301,806,005.70, 452,709,008.55 and 289,901,727.30

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Solution

The fourth proportional to 301,806,005.70, 452,709,008.55 and 289,901,727.30 is: 434,852,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,005.70 : 452,709,008.55 = 289,901,727.30 : x
  2. Step 2: Convert to fraction form
    301,806,005.70/452,709,008.55 = 289,901,727.30/x
  3. Step 3: Cross multiply
    301,806,005.70x = 452,709,008.55 × 289,901,727.30
  4. Step 4: Simplify right side
    301,806,005.70x = 131,241,123,542,915,472
  5. Step 5: Solve for x
    x = 131,241,123,542,915,472/301,806,005.70
  6. Step 6: Final answer
    x = 434,852,590.95

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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.