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Finding the Fourth Proportional to 936,266,184,411.70, 1,404,399,276,617.50 and 936,266,184,411.70

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Solution

The fourth proportional to 936,266,184,411.70, 1,404,399,276,617.50 and 936,266,184,411.70 is: 1,404,399,276,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,266,184,411.70 : 1,404,399,276,617.50 = 936,266,184,411.70 : x
  2. Step 2: Convert to fraction form
    936,266,184,411.70/1,404,399,276,617.50 = 936,266,184,411.70/x
  3. Step 3: Cross multiply
    936,266,184,411.70x = 1,404,399,276,617.50 × 936,266,184,411.70
  4. Step 4: Simplify right side
    936,266,184,411.70x = 1,314,891,552,109,218,228,076,544
  5. Step 5: Solve for x
    x = 1,314,891,552,109,218,228,076,544/936,266,184,411.70
  6. Step 6: Final answer
    x = 1,404,399,276,617.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.