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Finding the Fourth Proportional to 60,492,907,313.10, 90,739,360,969.65 and 60,492,907,313.10

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Solution

The fourth proportional to 60,492,907,313.10, 90,739,360,969.65 and 60,492,907,313.10 is: 90,739,360,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,492,907,313.10 : 90,739,360,969.65 = 60,492,907,313.10 : x
  2. Step 2: Convert to fraction form
    60,492,907,313.10/90,739,360,969.65 = 60,492,907,313.10/x
  3. Step 3: Cross multiply
    60,492,907,313.10x = 90,739,360,969.65 × 60,492,907,313.10
  4. Step 4: Simplify right side
    60,492,907,313.10x = 5,489,087,752,786,960,973,824
  5. Step 5: Solve for x
    x = 5,489,087,752,786,960,973,824/60,492,907,313.10
  6. Step 6: Final answer
    x = 90,739,360,969.65

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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.