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Finding the Fourth Proportional to 10,101,630,528,027, 15,152,445,792,043 and 10,101,630,528,027

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Solution

The fourth proportional to 10,101,630,528,027, 15,152,445,792,043 and 10,101,630,528,027 is: 15,152,445,792,043

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,630,528,027 : 15,152,445,792,043 = 10,101,630,528,027 : x
  2. Step 2: Convert to fraction form
    10,101,630,528,027/15,152,445,792,043 = 10,101,630,528,027/x
  3. Step 3: Cross multiply
    10,101,630,528,027x = 15,152,445,792,043 × 10,101,630,528,027
  4. Step 4: Simplify right side
    10,101,630,528,027x = 153,064,408,987,175,831,906,287,616
  5. Step 5: Solve for x
    x = 153,064,408,987,175,831,906,287,616/10,101,630,528,027
  6. Step 6: Final answer
    x = 15,152,445,792,043

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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.