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Finding the Fourth Proportional to 560,501,460.23, 840,752,190.34 and 560,501,460.23

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Solution

The fourth proportional to 560,501,460.23, 840,752,190.34 and 560,501,460.23 is: 840,752,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,501,460.23 : 840,752,190.34 = 560,501,460.23 : x
  2. Step 2: Convert to fraction form
    560,501,460.23/840,752,190.34 = 560,501,460.23/x
  3. Step 3: Cross multiply
    560,501,460.23x = 840,752,190.34 × 560,501,460.23
  4. Step 4: Simplify right side
    560,501,460.23x = 471,242,830,371,535,872
  5. Step 5: Solve for x
    x = 471,242,830,371,535,872/560,501,460.23
  6. Step 6: Final answer
    x = 840,752,190.34

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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.