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Finding the Fourth Proportional to 869,047,662.26, 1,199,249,267.64 and 492,729,566.24

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Solution

The fourth proportional to 869,047,662.26, 1,199,249,267.64 and 492,729,566.24 is: 679,946,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,047,662.26 : 1,199,249,267.64 = 492,729,566.24 : x
  2. Step 2: Convert to fraction form
    869,047,662.26/1,199,249,267.64 = 492,729,566.24/x
  3. Step 3: Cross multiply
    869,047,662.26x = 1,199,249,267.64 × 492,729,566.24
  4. Step 4: Simplify right side
    869,047,662.26x = 590,905,571,457,894,912
  5. Step 5: Solve for x
    x = 590,905,571,457,894,912/869,047,662.26
  6. Step 6: Final answer
    x = 679,946,103.21

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