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Finding the Fourth Proportional to 802,121,617,664.08, 1,203,182,426,496.10 and 802,121,617,664.08

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Solution

The fourth proportional to 802,121,617,664.08, 1,203,182,426,496.10 and 802,121,617,664.08 is: 1,203,182,426,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,121,617,664.08 : 1,203,182,426,496.10 = 802,121,617,664.08 : x
  2. Step 2: Convert to fraction form
    802,121,617,664.08/1,203,182,426,496.10 = 802,121,617,664.08/x
  3. Step 3: Cross multiply
    802,121,617,664.08x = 1,203,182,426,496.10 × 802,121,617,664.08
  4. Step 4: Simplify right side
    802,121,617,664.08x = 965,098,634,286,044,805,070,848
  5. Step 5: Solve for x
    x = 965,098,634,286,044,805,070,848/802,121,617,664.08
  6. Step 6: Final answer
    x = 1,203,182,426,496.10

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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.