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Finding the Fourth Proportional to 5,240,963,735,999.40, 7,861,445,603,999.10 and 5,240,963,735,999.40

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Solution

The fourth proportional to 5,240,963,735,999.40, 7,861,445,603,999.10 and 5,240,963,735,999.40 is: 7,861,445,603,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,963,735,999.40 : 7,861,445,603,999.10 = 5,240,963,735,999.40 : x
  2. Step 2: Convert to fraction form
    5,240,963,735,999.40/7,861,445,603,999.10 = 5,240,963,735,999.40/x
  3. Step 3: Cross multiply
    5,240,963,735,999.40x = 7,861,445,603,999.10 × 5,240,963,735,999.40
  4. Step 4: Simplify right side
    5,240,963,735,999.40x = 41,201,551,323,091,183,173,894,144
  5. Step 5: Solve for x
    x = 41,201,551,323,091,183,173,894,144/5,240,963,735,999.40
  6. Step 6: Final answer
    x = 7,861,445,603,999.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.