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Finding the Fourth Proportional to 1,264,670,101.92, 1,899,176,076 and 776,251,416

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Solution

The fourth proportional to 1,264,670,101.92, 1,899,176,076 and 776,251,416 is: 1,165,709,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,670,101.92 : 1,899,176,076 = 776,251,416 : x
  2. Step 2: Convert to fraction form
    1,264,670,101.92/1,899,176,076 = 776,251,416/x
  3. Step 3: Cross multiply
    1,264,670,101.92x = 1,899,176,076 × 776,251,416
  4. Step 4: Simplify right side
    1,264,670,101.92x = 1,474,238,118,228,323,584
  5. Step 5: Solve for x
    x = 1,474,238,118,228,323,584/1,264,670,101.92
  6. Step 6: Final answer
    x = 1,165,709,631.30

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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.