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Finding the Fourth Proportional to 109,792,284,359.70, 164,688,426,539.55 and 109,792,284,359.70

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Solution

The fourth proportional to 109,792,284,359.70, 164,688,426,539.55 and 109,792,284,359.70 is: 164,688,426,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,792,284,359.70 : 164,688,426,539.55 = 109,792,284,359.70 : x
  2. Step 2: Convert to fraction form
    109,792,284,359.70/164,688,426,539.55 = 109,792,284,359.70/x
  3. Step 3: Cross multiply
    109,792,284,359.70x = 164,688,426,539.55 × 109,792,284,359.70
  4. Step 4: Simplify right side
    109,792,284,359.70x = 18,081,518,557,381,835,882,496
  5. Step 5: Solve for x
    x = 18,081,518,557,381,835,882,496/109,792,284,359.70
  6. Step 6: Final answer
    x = 164,688,426,539.55

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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.