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Finding the Fourth Proportional to 589,940,343.70, 824,385,931.10 and 589,940,343.70

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Solution

The fourth proportional to 589,940,343.70, 824,385,931.10 and 589,940,343.70 is: 824,385,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,940,343.70 : 824,385,931.10 = 589,940,343.70 : x
  2. Step 2: Convert to fraction form
    589,940,343.70/824,385,931.10 = 589,940,343.70/x
  3. Step 3: Cross multiply
    589,940,343.70x = 824,385,931.10 × 589,940,343.70
  4. Step 4: Simplify right side
    589,940,343.70x = 486,338,519,534,578,560
  5. Step 5: Solve for x
    x = 486,338,519,534,578,560/589,940,343.70
  6. Step 6: Final answer
    x = 824,385,931.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.