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Finding the Fourth Proportional to 771,468,377.13, 1,064,714,679 and 432,468,413.10

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Solution

The fourth proportional to 771,468,377.13, 1,064,714,679 and 432,468,413.10 is: 596,855,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,468,377.13 : 1,064,714,679 = 432,468,413.10 : x
  2. Step 2: Convert to fraction form
    771,468,377.13/1,064,714,679 = 432,468,413.10/x
  3. Step 3: Cross multiply
    771,468,377.13x = 1,064,714,679 × 432,468,413.10
  4. Step 4: Simplify right side
    771,468,377.13x = 460,455,467,631,405,952
  5. Step 5: Solve for x
    x = 460,455,467,631,405,952/771,468,377.13
  6. Step 6: Final answer
    x = 596,855,919.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.