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Finding the Fourth Proportional to 30,884,449,609.20, 46,326,674,413.80 and 30,884,449,609.20

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Solution

The fourth proportional to 30,884,449,609.20, 46,326,674,413.80 and 30,884,449,609.20 is: 46,326,674,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884,449,609.20 : 46,326,674,413.80 = 30,884,449,609.20 : x
  2. Step 2: Convert to fraction form
    30,884,449,609.20/46,326,674,413.80 = 30,884,449,609.20/x
  3. Step 3: Cross multiply
    30,884,449,609.20x = 46,326,674,413.80 × 30,884,449,609.20
  4. Step 4: Simplify right side
    30,884,449,609.20x = 1,430,773,841,494,821,306,368
  5. Step 5: Solve for x
    x = 1,430,773,841,494,821,306,368/30,884,449,609.20
  6. Step 6: Final answer
    x = 46,326,674,413.80

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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.