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Finding the Fourth Proportional to 597,977,438.10, 896,966,157.18 and 597,977,438.10

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Solution

The fourth proportional to 597,977,438.10, 896,966,157.18 and 597,977,438.10 is: 896,966,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,977,438.10 : 896,966,157.18 = 597,977,438.10 : x
  2. Step 2: Convert to fraction form
    597,977,438.10/896,966,157.18 = 597,977,438.10/x
  3. Step 3: Cross multiply
    597,977,438.10x = 896,966,157.18 × 597,977,438.10
  4. Step 4: Simplify right side
    597,977,438.10x = 536,365,524,732,898,304
  5. Step 5: Solve for x
    x = 536,365,524,732,898,304/597,977,438.10
  6. Step 6: Final answer
    x = 896,966,157.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.