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Finding the Fourth Proportional to 12,411,792,382.40, 18,617,688,573.60 and 12,411,792,382.40

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Solution

The fourth proportional to 12,411,792,382.40, 18,617,688,573.60 and 12,411,792,382.40 is: 18,617,688,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411,792,382.40 : 18,617,688,573.60 = 12,411,792,382.40 : x
  2. Step 2: Convert to fraction form
    12,411,792,382.40/18,617,688,573.60 = 12,411,792,382.40/x
  3. Step 3: Cross multiply
    12,411,792,382.40x = 18,617,688,573.60 × 12,411,792,382.40
  4. Step 4: Simplify right side
    12,411,792,382.40x = 231,078,885,215,703,990,272
  5. Step 5: Solve for x
    x = 231,078,885,215,703,990,272/12,411,792,382.40
  6. Step 6: Final answer
    x = 18,617,688,573.60

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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.