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Finding the Fourth Proportional to 1,001,673,702,000.40, 1,502,510,553,000.50 and 1,001,673,702,000.40

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Solution

The fourth proportional to 1,001,673,702,000.40, 1,502,510,553,000.50 and 1,001,673,702,000.40 is: 1,502,510,553,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,673,702,000.40 : 1,502,510,553,000.50 = 1,001,673,702,000.40 : x
  2. Step 2: Convert to fraction form
    1,001,673,702,000.40/1,502,510,553,000.50 = 1,001,673,702,000.40/x
  3. Step 3: Cross multiply
    1,001,673,702,000.40x = 1,502,510,553,000.50 × 1,001,673,702,000.40
  4. Step 4: Simplify right side
    1,001,673,702,000.40x = 1,505,025,307,918,679,052,124,160
  5. Step 5: Solve for x
    x = 1,505,025,307,918,679,052,124,160/1,001,673,702,000.40
  6. Step 6: Final answer
    x = 1,502,510,553,000.50

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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.