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Finding the Fourth Proportional to 697,771,989.94, 962,931,804 and 384,517,414.30

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Solution

The fourth proportional to 697,771,989.94, 962,931,804 and 384,517,414.30 is: 530,637,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,771,989.94 : 962,931,804 = 384,517,414.30 : x
  2. Step 2: Convert to fraction form
    697,771,989.94/962,931,804 = 384,517,414.30/x
  3. Step 3: Cross multiply
    697,771,989.94x = 962,931,804 × 384,517,414.30
  4. Step 4: Simplify right side
    697,771,989.94x = 370,264,047,421,314,432
  5. Step 5: Solve for x
    x = 370,264,047,421,314,432/697,771,989.94
  6. Step 6: Final answer
    x = 530,637,590.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.