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Finding the Fourth Proportional to 10,101,630,528,046, 15,152,445,792,070 and 10,101,630,528,046

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Solution

The fourth proportional to 10,101,630,528,046, 15,152,445,792,070 and 10,101,630,528,046 is: 15,152,445,792,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101,630,528,046 : 15,152,445,792,070 = 10,101,630,528,046 : x
  2. Step 2: Convert to fraction form
    10,101,630,528,046/15,152,445,792,070 = 10,101,630,528,046/x
  3. Step 3: Cross multiply
    10,101,630,528,046x = 15,152,445,792,070 × 10,101,630,528,046
  4. Step 4: Simplify right side
    10,101,630,528,046x = 153,064,408,987,736,462,577,369,088
  5. Step 5: Solve for x
    x = 153,064,408,987,736,462,577,369,088/10,101,630,528,046
  6. Step 6: Final answer
    x = 15,152,445,792,070

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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.