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Finding the Fourth Proportional to 314,996,942.10, 472,495,413.15 and 314,996,942.10

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Solution

The fourth proportional to 314,996,942.10, 472,495,413.15 and 314,996,942.10 is: 472,495,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,996,942.10 : 472,495,413.15 = 314,996,942.10 : x
  2. Step 2: Convert to fraction form
    314,996,942.10/472,495,413.15 = 314,996,942.10/x
  3. Step 3: Cross multiply
    314,996,942.10x = 472,495,413.15 × 314,996,942.10
  4. Step 4: Simplify right side
    314,996,942.10x = 148,834,610,298,526,144
  5. Step 5: Solve for x
    x = 148,834,610,298,526,144/314,996,942.10
  6. Step 6: Final answer
    x = 472,495,413.15

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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.