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Finding the Fourth Proportional to 578,047,638.22, 797,706,528.51 and 313,729,634.68

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Solution

The fourth proportional to 578,047,638.22, 797,706,528.51 and 313,729,634.68 is: 432,947,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,047,638.22 : 797,706,528.51 = 313,729,634.68 : x
  2. Step 2: Convert to fraction form
    578,047,638.22/797,706,528.51 = 313,729,634.68/x
  3. Step 3: Cross multiply
    578,047,638.22x = 797,706,528.51 × 313,729,634.68
  4. Step 4: Simplify right side
    578,047,638.22x = 250,264,177,771,293,312
  5. Step 5: Solve for x
    x = 250,264,177,771,293,312/578,047,638.22
  6. Step 6: Final answer
    x = 432,947,323.41

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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.