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Finding the Fourth Proportional to 473,366,413.80, 710,049,620.70 and 310,107,738.60

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Solution

The fourth proportional to 473,366,413.80, 710,049,620.70 and 310,107,738.60 is: 465,161,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,366,413.80 : 710,049,620.70 = 310,107,738.60 : x
  2. Step 2: Convert to fraction form
    473,366,413.80/710,049,620.70 = 310,107,738.60/x
  3. Step 3: Cross multiply
    473,366,413.80x = 710,049,620.70 × 310,107,738.60
  4. Step 4: Simplify right side
    473,366,413.80x = 220,191,882,169,064,768
  5. Step 5: Solve for x
    x = 220,191,882,169,064,768/473,366,413.80
  6. Step 6: Final answer
    x = 465,161,607.90

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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.