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Finding the Fourth Proportional to 1,006,970,946.70, 1,510,456,420.06 and 1,006,970,946.70

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Solution

The fourth proportional to 1,006,970,946.70, 1,510,456,420.06 and 1,006,970,946.70 is: 1,510,456,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,970,946.70 : 1,510,456,420.06 = 1,006,970,946.70 : x
  2. Step 2: Convert to fraction form
    1,006,970,946.70/1,510,456,420.06 = 1,006,970,946.70/x
  3. Step 3: Cross multiply
    1,006,970,946.70x = 1,510,456,420.06 × 1,006,970,946.70
  4. Step 4: Simplify right side
    1,006,970,946.70x = 1,520,985,731,256,911,104
  5. Step 5: Solve for x
    x = 1,520,985,731,256,911,104/1,006,970,946.70
  6. Step 6: Final answer
    x = 1,510,456,420.06

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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.