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Finding the Fourth Proportional to 459,832,275.80, 689,748,413.70 and 414,482,643.80

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Solution

The fourth proportional to 459,832,275.80, 689,748,413.70 and 414,482,643.80 is: 621,723,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,832,275.80 : 689,748,413.70 = 414,482,643.80 : x
  2. Step 2: Convert to fraction form
    459,832,275.80/689,748,413.70 = 414,482,643.80/x
  3. Step 3: Cross multiply
    459,832,275.80x = 689,748,413.70 × 414,482,643.80
  4. Step 4: Simplify right side
    459,832,275.80x = 285,888,746,067,232,160
  5. Step 5: Solve for x
    x = 285,888,746,067,232,160/459,832,275.80
  6. Step 6: Final answer
    x = 621,723,965.70

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1.5x scale

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.