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Finding the Fourth Proportional to 453,729,130,005.70, 680,593,695,008.56 and 453,729,130,005.70

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Solution

The fourth proportional to 453,729,130,005.70, 680,593,695,008.56 and 453,729,130,005.70 is: 680,593,695,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,729,130,005.70 : 680,593,695,008.56 = 453,729,130,005.70 : x
  2. Step 2: Convert to fraction form
    453,729,130,005.70/680,593,695,008.56 = 453,729,130,005.70/x
  3. Step 3: Cross multiply
    453,729,130,005.70x = 680,593,695,008.56 × 453,729,130,005.70
  4. Step 4: Simplify right side
    453,729,130,005.70x = 308,805,185,123,598,666,301,440
  5. Step 5: Solve for x
    x = 308,805,185,123,598,666,301,440/453,729,130,005.70
  6. Step 6: Final answer
    x = 680,593,695,008.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.