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Finding the Fourth Proportional to 534,816,007.60, 802,224,011.40 and 460,839,420.40

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Solution

The fourth proportional to 534,816,007.60, 802,224,011.40 and 460,839,420.40 is: 691,259,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,816,007.60 : 802,224,011.40 = 460,839,420.40 : x
  2. Step 2: Convert to fraction form
    534,816,007.60/802,224,011.40 = 460,839,420.40/x
  3. Step 3: Cross multiply
    534,816,007.60x = 802,224,011.40 × 460,839,420.40
  4. Step 4: Simplify right side
    534,816,007.60x = 369,696,448,444,538,944
  5. Step 5: Solve for x
    x = 369,696,448,444,538,944/534,816,007.60
  6. Step 6: Final answer
    x = 691,259,130.60

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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.