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Finding the Fourth Proportional to 459,769,413.10, 689,654,119.65 and 459,769,413.10

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Solution

The fourth proportional to 459,769,413.10, 689,654,119.65 and 459,769,413.10 is: 689,654,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,769,413.10 : 689,654,119.65 = 459,769,413.10 : x
  2. Step 2: Convert to fraction form
    459,769,413.10/689,654,119.65 = 459,769,413.10/x
  3. Step 3: Cross multiply
    459,769,413.10x = 689,654,119.65 × 459,769,413.10
  4. Step 4: Simplify right side
    459,769,413.10x = 317,081,869,833,477,696
  5. Step 5: Solve for x
    x = 317,081,869,833,477,696/459,769,413.10
  6. Step 6: Final answer
    x = 689,654,119.65

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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.