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Finding the Fourth Proportional to 10,101,630,528,023, 15,152,445,792,034 and 10,101,630,528,023

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Solution

The fourth proportional to 10,101,630,528,023, 15,152,445,792,034 and 10,101,630,528,023 is: 15,152,445,792,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,630,528,023 : 15,152,445,792,034 = 10,101,630,528,023 : x
  2. Step 2: Convert to fraction form
    10,101,630,528,023/15,152,445,792,034 = 10,101,630,528,023/x
  3. Step 3: Cross multiply
    10,101,630,528,023x = 15,152,445,792,034 × 10,101,630,528,023
  4. Step 4: Simplify right side
    10,101,630,528,023x = 153,064,408,987,024,305,460,084,736
  5. Step 5: Solve for x
    x = 153,064,408,987,024,305,460,084,736/10,101,630,528,023
  6. Step 6: Final answer
    x = 15,152,445,792,034

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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.