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Finding the Fourth Proportional to 169,360,985,107.20, 254,041,477,660.80 and 169,360,985,107.20

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Solution

The fourth proportional to 169,360,985,107.20, 254,041,477,660.80 and 169,360,985,107.20 is: 254,041,477,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,360,985,107.20 : 254,041,477,660.80 = 169,360,985,107.20 : x
  2. Step 2: Convert to fraction form
    169,360,985,107.20/254,041,477,660.80 = 169,360,985,107.20/x
  3. Step 3: Cross multiply
    169,360,985,107.20x = 254,041,477,660.80 × 169,360,985,107.20
  4. Step 4: Simplify right side
    169,360,985,107.20x = 43,024,714,914,721,827,913,728
  5. Step 5: Solve for x
    x = 43,024,714,914,721,827,913,728/169,360,985,107.20
  6. Step 6: Final answer
    x = 254,041,477,660.80

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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.