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Finding the Fourth Proportional to 1,006,898,688,003, 1,510,348,032,004.40 and 1,006,898,688,003

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Solution

The fourth proportional to 1,006,898,688,003, 1,510,348,032,004.40 and 1,006,898,688,003 is: 1,510,348,032,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,898,688,003 : 1,510,348,032,004.40 = 1,006,898,688,003 : x
  2. Step 2: Convert to fraction form
    1,006,898,688,003/1,510,348,032,004.40 = 1,006,898,688,003/x
  3. Step 3: Cross multiply
    1,006,898,688,003x = 1,510,348,032,004.40 × 1,006,898,688,003
  4. Step 4: Simplify right side
    1,006,898,688,003x = 1,520,767,451,853,143,372,988,416
  5. Step 5: Solve for x
    x = 1,520,767,451,853,143,372,988,416/1,006,898,688,003
  6. Step 6: Final answer
    x = 1,510,348,032,004.40

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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.