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Finding the Fourth Proportional to 308,590,075,101.68, 462,885,112,652.51 and 308,590,075,101.68

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Solution

The fourth proportional to 308,590,075,101.68, 462,885,112,652.51 and 308,590,075,101.68 is: 462,885,112,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,590,075,101.68 : 462,885,112,652.51 = 308,590,075,101.68 : x
  2. Step 2: Convert to fraction form
    308,590,075,101.68/462,885,112,652.51 = 308,590,075,101.68/x
  3. Step 3: Cross multiply
    308,590,075,101.68x = 462,885,112,652.51 × 308,590,075,101.68
  4. Step 4: Simplify right side
    308,590,075,101.68x = 142,841,751,676,887,674,912,768
  5. Step 5: Solve for x
    x = 142,841,751,676,887,674,912,768/308,590,075,101.68
  6. Step 6: Final answer
    x = 462,885,112,652.51

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Double scale
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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.