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Finding the Fourth Proportional to 196,334,308,053.70, 294,501,462,080.55 and 196,334,308,053.70

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Solution

The fourth proportional to 196,334,308,053.70, 294,501,462,080.55 and 196,334,308,053.70 is: 294,501,462,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,334,308,053.70 : 294,501,462,080.55 = 196,334,308,053.70 : x
  2. Step 2: Convert to fraction form
    196,334,308,053.70/294,501,462,080.55 = 196,334,308,053.70/x
  3. Step 3: Cross multiply
    196,334,308,053.70x = 294,501,462,080.55 × 196,334,308,053.70
  4. Step 4: Simplify right side
    196,334,308,053.70x = 57,820,740,778,387,757,334,528
  5. Step 5: Solve for x
    x = 57,820,740,778,387,757,334,528/196,334,308,053.70
  6. Step 6: Final answer
    x = 294,501,462,080.55

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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.