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Finding the Fourth Proportional to 878,341,482,068.10, 1,317,512,223,102.10 and 878,341,482,068.10

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Solution

The fourth proportional to 878,341,482,068.10, 1,317,512,223,102.10 and 878,341,482,068.10 is: 1,317,512,223,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,341,482,068.10 : 1,317,512,223,102.10 = 878,341,482,068.10 : x
  2. Step 2: Convert to fraction form
    878,341,482,068.10/1,317,512,223,102.10 = 878,341,482,068.10/x
  3. Step 3: Cross multiply
    878,341,482,068.10x = 1,317,512,223,102.10 × 878,341,482,068.10
  4. Step 4: Simplify right side
    878,341,482,068.10x = 1,157,225,638,682,335,838,732,288
  5. Step 5: Solve for x
    x = 1,157,225,638,682,335,838,732,288/878,341,482,068.10
  6. Step 6: Final answer
    x = 1,317,512,223,102.10

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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.