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Finding the Fourth Proportional to 1,422,779,904, 1,963,436,267.52 and 771,614,208

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Solution

The fourth proportional to 1,422,779,904, 1,963,436,267.52 and 771,614,208 is: 1,064,827,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,779,904 : 1,963,436,267.52 = 771,614,208 : x
  2. Step 2: Convert to fraction form
    1,422,779,904/1,963,436,267.52 = 771,614,208/x
  3. Step 3: Cross multiply
    1,422,779,904x = 1,963,436,267.52 × 771,614,208
  4. Step 4: Simplify right side
    1,422,779,904x = 1,515,015,320,520,920,832
  5. Step 5: Solve for x
    x = 1,515,015,320,520,920,832/1,422,779,904
  6. Step 6: Final answer
    x = 1,064,827,607.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.