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Finding the Fourth Proportional to 1,006,898,688,002, 1,510,348,032,002.90 and 1,006,898,688,002

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Solution

The fourth proportional to 1,006,898,688,002, 1,510,348,032,002.90 and 1,006,898,688,002 is: 1,510,348,032,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,898,688,002 : 1,510,348,032,002.90 = 1,006,898,688,002 : x
  2. Step 2: Convert to fraction form
    1,006,898,688,002/1,510,348,032,002.90 = 1,006,898,688,002/x
  3. Step 3: Cross multiply
    1,006,898,688,002x = 1,510,348,032,002.90 × 1,006,898,688,002
  4. Step 4: Simplify right side
    1,006,898,688,002x = 1,520,767,451,850,122,668,802,048
  5. Step 5: Solve for x
    x = 1,520,767,451,850,122,668,802,048/1,006,898,688,002
  6. Step 6: Final answer
    x = 1,510,348,032,002.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.