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Finding the Fourth Proportional to 551,671,242,145.20, 827,506,863,217.80 and 551,671,242,145.20

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Solution

The fourth proportional to 551,671,242,145.20, 827,506,863,217.80 and 551,671,242,145.20 is: 827,506,863,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,671,242,145.20 : 827,506,863,217.80 = 551,671,242,145.20 : x
  2. Step 2: Convert to fraction form
    551,671,242,145.20/827,506,863,217.80 = 551,671,242,145.20/x
  3. Step 3: Cross multiply
    551,671,242,145.20x = 827,506,863,217.80 × 551,671,242,145.20
  4. Step 4: Simplify right side
    551,671,242,145.20x = 456,511,739,115,041,795,866,624
  5. Step 5: Solve for x
    x = 456,511,739,115,041,795,866,624/551,671,242,145.20
  6. Step 6: Final answer
    x = 827,506,863,217.80

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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.