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Finding the Fourth Proportional to 104,949,216,243.60, 157,423,824,365.40 and 104,949,216,243.60

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Solution

The fourth proportional to 104,949,216,243.60, 157,423,824,365.40 and 104,949,216,243.60 is: 157,423,824,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,949,216,243.60 : 157,423,824,365.40 = 104,949,216,243.60 : x
  2. Step 2: Convert to fraction form
    104,949,216,243.60/157,423,824,365.40 = 104,949,216,243.60/x
  3. Step 3: Cross multiply
    104,949,216,243.60x = 157,423,824,365.40 × 104,949,216,243.60
  4. Step 4: Simplify right side
    104,949,216,243.60x = 16,521,506,985,218,871,918,592
  5. Step 5: Solve for x
    x = 16,521,506,985,218,871,918,592/104,949,216,243.60
  6. Step 6: Final answer
    x = 157,423,824,365.40

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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.