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Finding the Fourth Proportional to 10,101,630,528,031, 15,152,445,792,046 and 10,101,630,528,031

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Solution

The fourth proportional to 10,101,630,528,031, 15,152,445,792,046 and 10,101,630,528,031 is: 15,152,445,792,046

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,630,528,031 : 15,152,445,792,046 = 10,101,630,528,031 : x
  2. Step 2: Convert to fraction form
    10,101,630,528,031/15,152,445,792,046 = 10,101,630,528,031/x
  3. Step 3: Cross multiply
    10,101,630,528,031x = 15,152,445,792,046 × 10,101,630,528,031
  4. Step 4: Simplify right side
    10,101,630,528,031x = 153,064,408,987,266,730,594,140,160
  5. Step 5: Solve for x
    x = 153,064,408,987,266,730,594,140,160/10,101,630,528,031
  6. Step 6: Final answer
    x = 15,152,445,792,046

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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.