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Finding the Fourth Proportional to 343,343,254,301.80, 515,014,881,452.70 and 343,343,254,301.80

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Solution

The fourth proportional to 343,343,254,301.80, 515,014,881,452.70 and 343,343,254,301.80 is: 515,014,881,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,343,254,301.80 : 515,014,881,452.70 = 343,343,254,301.80 : x
  2. Step 2: Convert to fraction form
    343,343,254,301.80/515,014,881,452.70 = 343,343,254,301.80/x
  3. Step 3: Cross multiply
    343,343,254,301.80x = 515,014,881,452.70 × 343,343,254,301.80
  4. Step 4: Simplify right side
    343,343,254,301.80x = 176,826,885,411,825,743,036,416
  5. Step 5: Solve for x
    x = 176,826,885,411,825,743,036,416/343,343,254,301.80
  6. Step 6: Final answer
    x = 515,014,881,452.70

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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.