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Finding the Fourth Proportional to 532,578,996.84, 734,895,364.02 and 294,392,006.06

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Solution

The fourth proportional to 532,578,996.84, 734,895,364.02 and 294,392,006.06 is: 406,225,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,578,996.84 : 734,895,364.02 = 294,392,006.06 : x
  2. Step 2: Convert to fraction form
    532,578,996.84/734,895,364.02 = 294,392,006.06/x
  3. Step 3: Cross multiply
    532,578,996.84x = 734,895,364.02 × 294,392,006.06
  4. Step 4: Simplify right side
    532,578,996.84x = 216,347,320,458,041,728
  5. Step 5: Solve for x
    x = 216,347,320,458,041,728/532,578,996.84
  6. Step 6: Final answer
    x = 406,225,783.86

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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.