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Finding the Fourth Proportional to 806,796,302.40, 1,210,194,453.60 and 692,005,046.40

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Solution

The fourth proportional to 806,796,302.40, 1,210,194,453.60 and 692,005,046.40 is: 1,038,007,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,796,302.40 : 1,210,194,453.60 = 692,005,046.40 : x
  2. Step 2: Convert to fraction form
    806,796,302.40/1,210,194,453.60 = 692,005,046.40/x
  3. Step 3: Cross multiply
    806,796,302.40x = 1,210,194,453.60 × 692,005,046.40
  4. Step 4: Simplify right side
    806,796,302.40x = 837,460,669,016,490,496
  5. Step 5: Solve for x
    x = 837,460,669,016,490,496/806,796,302.40
  6. Step 6: Final answer
    x = 1,038,007,569.60

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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.