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Finding the Fourth Proportional to 3,219,264,967.60, 4,828,897,451.40 and 3,219,264,967.60

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Solution

The fourth proportional to 3,219,264,967.60, 4,828,897,451.40 and 3,219,264,967.60 is: 4,828,897,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,264,967.60 : 4,828,897,451.40 = 3,219,264,967.60 : x
  2. Step 2: Convert to fraction form
    3,219,264,967.60/4,828,897,451.40 = 3,219,264,967.60/x
  3. Step 3: Cross multiply
    3,219,264,967.60x = 4,828,897,451.40 × 3,219,264,967.60
  4. Step 4: Simplify right side
    3,219,264,967.60x = 15,545,500,397,424,941,056
  5. Step 5: Solve for x
    x = 15,545,500,397,424,941,056/3,219,264,967.60
  6. Step 6: Final answer
    x = 4,828,897,451.40

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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.