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Finding the Fourth Proportional to 498,210,009.03, 747,315,013.54 and 498,210,009.03

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Solution

The fourth proportional to 498,210,009.03, 747,315,013.54 and 498,210,009.03 is: 747,315,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,210,009.03 : 747,315,013.54 = 498,210,009.03 : x
  2. Step 2: Convert to fraction form
    498,210,009.03/747,315,013.54 = 498,210,009.03/x
  3. Step 3: Cross multiply
    498,210,009.03x = 747,315,013.54 × 498,210,009.03
  4. Step 4: Simplify right side
    498,210,009.03x = 372,319,819,644,017,920
  5. Step 5: Solve for x
    x = 372,319,819,644,017,920/498,210,009.03
  6. Step 6: Final answer
    x = 747,315,013.54

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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.