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Finding the Fourth Proportional to 107,291,051,570.70, 160,936,577,356.05 and 107,291,051,570.70

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Solution

The fourth proportional to 107,291,051,570.70, 160,936,577,356.05 and 107,291,051,570.70 is: 160,936,577,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,291,051,570.70 : 160,936,577,356.05 = 107,291,051,570.70 : x
  2. Step 2: Convert to fraction form
    107,291,051,570.70/160,936,577,356.05 = 107,291,051,570.70/x
  3. Step 3: Cross multiply
    107,291,051,570.70x = 160,936,577,356.05 × 107,291,051,570.70
  4. Step 4: Simplify right side
    107,291,051,570.70x = 17,267,054,620,719,909,437,440
  5. Step 5: Solve for x
    x = 17,267,054,620,719,909,437,440/107,291,051,570.70
  6. Step 6: Final answer
    x = 160,936,577,356.05

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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.