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Finding the Fourth Proportional to 1,919,372,017.10, 2,690,748,794.50 and 1,919,372,017.10

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Solution

The fourth proportional to 1,919,372,017.10, 2,690,748,794.50 and 1,919,372,017.10 is: 2,690,748,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,372,017.10 : 2,690,748,794.50 = 1,919,372,017.10 : x
  2. Step 2: Convert to fraction form
    1,919,372,017.10/2,690,748,794.50 = 1,919,372,017.10/x
  3. Step 3: Cross multiply
    1,919,372,017.10x = 2,690,748,794.50 × 1,919,372,017.10
  4. Step 4: Simplify right side
    1,919,372,017.10x = 5,164,547,941,208,858,624
  5. Step 5: Solve for x
    x = 5,164,547,941,208,858,624/1,919,372,017.10
  6. Step 6: Final answer
    x = 2,690,748,794.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.