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Finding the Fourth Proportional to 602,407,413.60, 903,993,298.08 and 257,363,635.68

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Solution

The fourth proportional to 602,407,413.60, 903,993,298.08 and 257,363,635.68 is: 386,208,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,407,413.60 : 903,993,298.08 = 257,363,635.68 : x
  2. Step 2: Convert to fraction form
    602,407,413.60/903,993,298.08 = 257,363,635.68/x
  3. Step 3: Cross multiply
    602,407,413.60x = 903,993,298.08 × 257,363,635.68
  4. Step 4: Simplify right side
    602,407,413.60x = 232,655,001,824,222,784
  5. Step 5: Solve for x
    x = 232,655,001,824,222,784/602,407,413.60
  6. Step 6: Final answer
    x = 386,208,729.46

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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.