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Finding the Fourth Proportional to 551,326,477.80, 826,989,716.70 and 551,326,477.80

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Solution

The fourth proportional to 551,326,477.80, 826,989,716.70 and 551,326,477.80 is: 826,989,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,326,477.80 : 826,989,716.70 = 551,326,477.80 : x
  2. Step 2: Convert to fraction form
    551,326,477.80/826,989,716.70 = 551,326,477.80/x
  3. Step 3: Cross multiply
    551,326,477.80x = 826,989,716.70 × 551,326,477.80
  4. Step 4: Simplify right side
    551,326,477.80x = 455,941,327,685,030,848
  5. Step 5: Solve for x
    x = 455,941,327,685,030,848/551,326,477.80
  6. Step 6: Final answer
    x = 826,989,716.70

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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.