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Finding the Fourth Proportional to 909,792,906.80, 1,364,689,360.20 and 603,430,948.40

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Solution

The fourth proportional to 909,792,906.80, 1,364,689,360.20 and 603,430,948.40 is: 905,146,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,792,906.80 : 1,364,689,360.20 = 603,430,948.40 : x
  2. Step 2: Convert to fraction form
    909,792,906.80/1,364,689,360.20 = 603,430,948.40/x
  3. Step 3: Cross multiply
    909,792,906.80x = 1,364,689,360.20 × 603,430,948.40
  4. Step 4: Simplify right side
    909,792,906.80x = 823,495,794,896,875,264
  5. Step 5: Solve for x
    x = 823,495,794,896,875,264/909,792,906.80
  6. Step 6: Final answer
    x = 905,146,422.60

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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.