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Finding the Fourth Proportional to 155,157,537,500.40, 232,736,306,250.60 and 155,157,537,500.40

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Solution

The fourth proportional to 155,157,537,500.40, 232,736,306,250.60 and 155,157,537,500.40 is: 232,736,306,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,157,537,500.40 : 232,736,306,250.60 = 155,157,537,500.40 : x
  2. Step 2: Convert to fraction form
    155,157,537,500.40/232,736,306,250.60 = 155,157,537,500.40/x
  3. Step 3: Cross multiply
    155,157,537,500.40x = 232,736,306,250.60 × 155,157,537,500.40
  4. Step 4: Simplify right side
    155,157,537,500.40x = 36,110,792,164,782,047,756,288
  5. Step 5: Solve for x
    x = 36,110,792,164,782,047,756,288/155,157,537,500.40
  6. Step 6: Final answer
    x = 232,736,306,250.60

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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.