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Finding the Fourth Proportional to 501,253,137,070.02, 751,879,705,605.03 and 501,253,137,070.02

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Solution

The fourth proportional to 501,253,137,070.02, 751,879,705,605.03 and 501,253,137,070.02 is: 751,879,705,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,253,137,070.02 : 751,879,705,605.03 = 501,253,137,070.02 : x
  2. Step 2: Convert to fraction form
    501,253,137,070.02/751,879,705,605.03 = 501,253,137,070.02/x
  3. Step 3: Cross multiply
    501,253,137,070.02x = 751,879,705,605.03 × 501,253,137,070.02
  4. Step 4: Simplify right side
    501,253,137,070.02x = 376,882,061,133,804,390,580,224
  5. Step 5: Solve for x
    x = 376,882,061,133,804,390,580,224/501,253,137,070.02
  6. Step 6: Final answer
    x = 751,879,705,605.03

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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.