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Finding the Fourth Proportional to 597,978,140.10, 896,967,210.15 and 597,978,140.10

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Solution

The fourth proportional to 597,978,140.10, 896,967,210.15 and 597,978,140.10 is: 896,967,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,978,140.10 : 896,967,210.15 = 597,978,140.10 : x
  2. Step 2: Convert to fraction form
    597,978,140.10/896,967,210.15 = 597,978,140.10/x
  3. Step 3: Cross multiply
    597,978,140.10x = 896,967,210.15 × 597,978,140.10
  4. Step 4: Simplify right side
    597,978,140.10x = 536,366,784,056,182,848
  5. Step 5: Solve for x
    x = 536,366,784,056,182,848/597,978,140.10
  6. Step 6: Final answer
    x = 896,967,210.15

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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.