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Finding the Fourth Proportional to 456,803,064,080.70, 685,204,596,121.05 and 456,803,064,080.70

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Solution

The fourth proportional to 456,803,064,080.70, 685,204,596,121.05 and 456,803,064,080.70 is: 685,204,596,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,803,064,080.70 : 685,204,596,121.05 = 456,803,064,080.70 : x
  2. Step 2: Convert to fraction form
    456,803,064,080.70/685,204,596,121.05 = 456,803,064,080.70/x
  3. Step 3: Cross multiply
    456,803,064,080.70x = 685,204,596,121.05 × 456,803,064,080.70
  4. Step 4: Simplify right side
    456,803,064,080.70x = 313,003,559,030,274,197,028,864
  5. Step 5: Solve for x
    x = 313,003,559,030,274,197,028,864/456,803,064,080.70
  6. Step 6: Final answer
    x = 685,204,596,121.05

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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.