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Finding the Fourth Proportional to 909,792,431.20, 1,364,688,646.80 and 728,393,903.20

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Solution

The fourth proportional to 909,792,431.20, 1,364,688,646.80 and 728,393,903.20 is: 1,092,590,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,792,431.20 : 1,364,688,646.80 = 728,393,903.20 : x
  2. Step 2: Convert to fraction form
    909,792,431.20/1,364,688,646.80 = 728,393,903.20/x
  3. Step 3: Cross multiply
    909,792,431.20x = 1,364,688,646.80 × 728,393,903.20
  4. Step 4: Simplify right side
    909,792,431.20x = 994,030,890,095,378,176
  5. Step 5: Solve for x
    x = 994,030,890,095,378,176/909,792,431.20
  6. Step 6: Final answer
    x = 1,092,590,854.80

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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.