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Finding the Fourth Proportional to 594,462,912.30, 891,694,368.45 and 206,156,688.30

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Solution

The fourth proportional to 594,462,912.30, 891,694,368.45 and 206,156,688.30 is: 309,235,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,462,912.30 : 891,694,368.45 = 206,156,688.30 : x
  2. Step 2: Convert to fraction form
    594,462,912.30/891,694,368.45 = 206,156,688.30/x
  3. Step 3: Cross multiply
    594,462,912.30x = 891,694,368.45 × 206,156,688.30
  4. Step 4: Simplify right side
    594,462,912.30x = 183,828,757,975,412,032
  5. Step 5: Solve for x
    x = 183,828,757,975,412,032/594,462,912.30
  6. Step 6: Final answer
    x = 309,235,032.45

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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.