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Finding the Fourth Proportional to 10,101,630,528,055, 15,152,445,792,084 and 10,101,630,528,055

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Solution

The fourth proportional to 10,101,630,528,055, 15,152,445,792,084 and 10,101,630,528,055 is: 15,152,445,792,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,630,528,055 : 15,152,445,792,084 = 10,101,630,528,055 : x
  2. Step 2: Convert to fraction form
    10,101,630,528,055/15,152,445,792,084 = 10,101,630,528,055/x
  3. Step 3: Cross multiply
    10,101,630,528,055x = 15,152,445,792,084 × 10,101,630,528,055
  4. Step 4: Simplify right side
    10,101,630,528,055x = 153,064,408,988,014,261,062,074,368
  5. Step 5: Solve for x
    x = 153,064,408,988,014,261,062,074,368/10,101,630,528,055
  6. Step 6: Final answer
    x = 15,152,445,792,084

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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.