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Finding the Fourth Proportional to 1,435,261,931.04, 1,980,662,799.56 and 775,212,209.04

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Solution

The fourth proportional to 1,435,261,931.04, 1,980,662,799.56 and 775,212,209.04 is: 1,069,793,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,261,931.04 : 1,980,662,799.56 = 775,212,209.04 : x
  2. Step 2: Convert to fraction form
    1,435,261,931.04/1,980,662,799.56 = 775,212,209.04/x
  3. Step 3: Cross multiply
    1,435,261,931.04x = 1,980,662,799.56 × 775,212,209.04
  4. Step 4: Simplify right side
    1,435,261,931.04x = 1,535,433,984,206,382,336
  5. Step 5: Solve for x
    x = 1,535,433,984,206,382,336/1,435,261,931.04
  6. Step 6: Final answer
    x = 1,069,793,569.38

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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.