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Finding the Fourth Proportional to 2,300,463,978.30, 3,450,695,967.45 and 2,016,355,619.70

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Solution

The fourth proportional to 2,300,463,978.30, 3,450,695,967.45 and 2,016,355,619.70 is: 3,024,533,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,463,978.30 : 3,450,695,967.45 = 2,016,355,619.70 : x
  2. Step 2: Convert to fraction form
    2,300,463,978.30/3,450,695,967.45 = 2,016,355,619.70/x
  3. Step 3: Cross multiply
    2,300,463,978.30x = 3,450,695,967.45 × 2,016,355,619.70
  4. Step 4: Simplify right side
    2,300,463,978.30x = 6,957,830,205,843,935,232
  5. Step 5: Solve for x
    x = 6,957,830,205,843,935,232/2,300,463,978.30
  6. Step 6: Final answer
    x = 3,024,533,429.55

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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.