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Finding the Fourth Proportional to 168,984,576,009.60, 253,476,864,014.40 and 168,984,576,009.60

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Solution

The fourth proportional to 168,984,576,009.60, 253,476,864,014.40 and 168,984,576,009.60 is: 253,476,864,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,984,576,009.60 : 253,476,864,014.40 = 168,984,576,009.60 : x
  2. Step 2: Convert to fraction form
    168,984,576,009.60/253,476,864,014.40 = 168,984,576,009.60/x
  3. Step 3: Cross multiply
    168,984,576,009.60x = 253,476,864,014.40 × 168,984,576,009.60
  4. Step 4: Simplify right side
    168,984,576,009.60x = 42,833,680,393,716,423,983,104
  5. Step 5: Solve for x
    x = 42,833,680,393,716,423,983,104/168,984,576,009.60
  6. Step 6: Final answer
    x = 253,476,864,014.40

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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.