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Finding the Fourth Proportional to 230,842,224,004.90, 346,263,336,007.35 and 230,842,224,004.90

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Solution

The fourth proportional to 230,842,224,004.90, 346,263,336,007.35 and 230,842,224,004.90 is: 346,263,336,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,842,224,004.90 : 346,263,336,007.35 = 230,842,224,004.90 : x
  2. Step 2: Convert to fraction form
    230,842,224,004.90/346,263,336,007.35 = 230,842,224,004.90/x
  3. Step 3: Cross multiply
    230,842,224,004.90x = 346,263,336,007.35 × 230,842,224,004.90
  4. Step 4: Simplify right side
    230,842,224,004.90x = 79,932,198,575,292,633,055,232
  5. Step 5: Solve for x
    x = 79,932,198,575,292,633,055,232/230,842,224,004.90
  6. Step 6: Final answer
    x = 346,263,336,007.35

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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.