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Finding the Fourth Proportional to 155,417,193,699.60, 233,125,790,549.40 and 155,417,193,699.60

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Solution

The fourth proportional to 155,417,193,699.60, 233,125,790,549.40 and 155,417,193,699.60 is: 233,125,790,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,417,193,699.60 : 233,125,790,549.40 = 155,417,193,699.60 : x
  2. Step 2: Convert to fraction form
    155,417,193,699.60/233,125,790,549.40 = 155,417,193,699.60/x
  3. Step 3: Cross multiply
    155,417,193,699.60x = 233,125,790,549.40 × 155,417,193,699.60
  4. Step 4: Simplify right side
    155,417,193,699.60x = 36,231,756,146,188,478,316,544
  5. Step 5: Solve for x
    x = 36,231,756,146,188,478,316,544/155,417,193,699.60
  6. Step 6: Final answer
    x = 233,125,790,549.40

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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.