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Finding the Fourth Proportional to 734,599,474.22, 1,013,793,085.96 and 404,574,525.74

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Solution

The fourth proportional to 734,599,474.22, 1,013,793,085.96 and 404,574,525.74 is: 558,338,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,599,474.22 : 1,013,793,085.96 = 404,574,525.74 : x
  2. Step 2: Convert to fraction form
    734,599,474.22/1,013,793,085.96 = 404,574,525.74/x
  3. Step 3: Cross multiply
    734,599,474.22x = 1,013,793,085.96 × 404,574,525.74
  4. Step 4: Simplify right side
    734,599,474.22x = 410,154,856,950,758,080
  5. Step 5: Solve for x
    x = 410,154,856,950,758,080/734,599,474.22
  6. Step 6: Final answer
    x = 558,338,075.84

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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.