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Finding the Fourth Proportional to 308,590,075,101.78, 462,885,112,652.67 and 308,590,075,101.78

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Solution

The fourth proportional to 308,590,075,101.78, 462,885,112,652.67 and 308,590,075,101.78 is: 462,885,112,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,590,075,101.78 : 462,885,112,652.67 = 308,590,075,101.78 : x
  2. Step 2: Convert to fraction form
    308,590,075,101.78/462,885,112,652.67 = 308,590,075,101.78/x
  3. Step 3: Cross multiply
    308,590,075,101.78x = 462,885,112,652.67 × 308,590,075,101.78
  4. Step 4: Simplify right side
    308,590,075,101.78x = 142,841,751,676,983,338,598,400
  5. Step 5: Solve for x
    x = 142,841,751,676,983,338,598,400/308,590,075,101.78
  6. Step 6: Final answer
    x = 462,885,112,652.67

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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.