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Finding the Fourth Proportional to 78,286,280.40, 117,429,420.60 and 78,286,280.40

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Solution

The fourth proportional to 78,286,280.40, 117,429,420.60 and 78,286,280.40 is: 117,429,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286,280.40 : 117,429,420.60 = 78,286,280.40 : x
  2. Step 2: Convert to fraction form
    78,286,280.40/117,429,420.60 = 78,286,280.40/x
  3. Step 3: Cross multiply
    78,286,280.40x = 117,429,420.60 × 78,286,280.40
  4. Step 4: Simplify right side
    78,286,280.40x = 9,193,112,548,301,136
  5. Step 5: Solve for x
    x = 9,193,112,548,301,136/78,286,280.40
  6. Step 6: Final answer
    x = 117,429,420.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.