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Finding the Fourth Proportional to 109,792,284,408.45, 164,688,426,612.67 and 109,792,284,408.45

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Solution

The fourth proportional to 109,792,284,408.45, 164,688,426,612.67 and 109,792,284,408.45 is: 164,688,426,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,792,284,408.45 : 164,688,426,612.67 = 109,792,284,408.45 : x
  2. Step 2: Convert to fraction form
    109,792,284,408.45/164,688,426,612.67 = 109,792,284,408.45/x
  3. Step 3: Cross multiply
    109,792,284,408.45x = 164,688,426,612.67 × 109,792,284,408.45
  4. Step 4: Simplify right side
    109,792,284,408.45x = 18,081,518,573,438,411,735,040
  5. Step 5: Solve for x
    x = 18,081,518,573,438,411,735,040/109,792,284,408.45
  6. Step 6: Final answer
    x = 164,688,426,612.67

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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.