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Finding the Fourth Proportional to 10,101,630,528,022, 15,152,445,792,032 and 10,101,630,528,022

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Solution

The fourth proportional to 10,101,630,528,022, 15,152,445,792,032 and 10,101,630,528,022 is: 15,152,445,792,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,630,528,022 : 15,152,445,792,032 = 10,101,630,528,022 : x
  2. Step 2: Convert to fraction form
    10,101,630,528,022/15,152,445,792,032 = 10,101,630,528,022/x
  3. Step 3: Cross multiply
    10,101,630,528,022x = 15,152,445,792,032 × 10,101,630,528,022
  4. Step 4: Simplify right side
    10,101,630,528,022x = 153,064,408,986,988,949,289,304,064
  5. Step 5: Solve for x
    x = 153,064,408,986,988,949,289,304,064/10,101,630,528,022
  6. Step 6: Final answer
    x = 15,152,445,792,032

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1.5x scale

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.