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Finding the Fourth Proportional to 1,216,406,473.98, 1,824,784,494.39 and 376,114,698.78

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Solution

The fourth proportional to 1,216,406,473.98, 1,824,784,494.39 and 376,114,698.78 is: 564,226,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,406,473.98 : 1,824,784,494.39 = 376,114,698.78 : x
  2. Step 2: Convert to fraction form
    1,216,406,473.98/1,824,784,494.39 = 376,114,698.78/x
  3. Step 3: Cross multiply
    1,216,406,473.98x = 1,824,784,494.39 × 376,114,698.78
  4. Step 4: Simplify right side
    1,216,406,473.98x = 686,328,270,445,909,376
  5. Step 5: Solve for x
    x = 686,328,270,445,909,376/1,216,406,473.98
  6. Step 6: Final answer
    x = 564,226,091.46

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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.