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Finding the Fourth Proportional to 109,663,616,059.20, 164,495,424,088.80 and 109,663,616,059.20

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Solution

The fourth proportional to 109,663,616,059.20, 164,495,424,088.80 and 109,663,616,059.20 is: 164,495,424,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663,616,059.20 : 164,495,424,088.80 = 109,663,616,059.20 : x
  2. Step 2: Convert to fraction form
    109,663,616,059.20/164,495,424,088.80 = 109,663,616,059.20/x
  3. Step 3: Cross multiply
    109,663,616,059.20x = 164,495,424,088.80 × 109,663,616,059.20
  4. Step 4: Simplify right side
    109,663,616,059.20x = 18,039,163,030,769,439,342,592
  5. Step 5: Solve for x
    x = 18,039,163,030,769,439,342,592/109,663,616,059.20
  6. Step 6: Final answer
    x = 164,495,424,088.80

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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.