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Finding the Fourth Proportional to 21,000,830,403.48, 31,501,245,605.21 and 21,000,830,403.48

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Solution

The fourth proportional to 21,000,830,403.48, 31,501,245,605.21 and 21,000,830,403.48 is: 31,501,245,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000,830,403.48 : 31,501,245,605.21 = 21,000,830,403.48 : x
  2. Step 2: Convert to fraction form
    21,000,830,403.48/31,501,245,605.21 = 21,000,830,403.48/x
  3. Step 3: Cross multiply
    21,000,830,403.48x = 31,501,245,605.21 × 21,000,830,403.48
  4. Step 4: Simplify right side
    21,000,830,403.48x = 661,552,316,453,384,880,128
  5. Step 5: Solve for x
    x = 661,552,316,453,384,880,128/21,000,830,403.48
  6. Step 6: Final answer
    x = 31,501,245,605.21

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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.