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Finding the Fourth Proportional to 10,101,630,528,026, 15,152,445,792,039 and 10,101,630,528,026

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Solution

The fourth proportional to 10,101,630,528,026, 15,152,445,792,039 and 10,101,630,528,026 is: 15,152,445,792,039

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,630,528,026 : 15,152,445,792,039 = 10,101,630,528,026 : x
  2. Step 2: Convert to fraction form
    10,101,630,528,026/15,152,445,792,039 = 10,101,630,528,026/x
  3. Step 3: Cross multiply
    10,101,630,528,026x = 15,152,445,792,039 × 10,101,630,528,026
  4. Step 4: Simplify right side
    10,101,630,528,026x = 153,064,408,987,120,272,209,346,560
  5. Step 5: Solve for x
    x = 153,064,408,987,120,272,209,346,560/10,101,630,528,026
  6. Step 6: Final answer
    x = 15,152,445,792,039

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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.