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Finding the Fourth Proportional to 973,030,463,715.90, 1,459,545,695,573.90 and 973,030,463,715.90

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Solution

The fourth proportional to 973,030,463,715.90, 1,459,545,695,573.90 and 973,030,463,715.90 is: 1,459,545,695,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,030,463,715.90 : 1,459,545,695,573.90 = 973,030,463,715.90 : x
  2. Step 2: Convert to fraction form
    973,030,463,715.90/1,459,545,695,573.90 = 973,030,463,715.90/x
  3. Step 3: Cross multiply
    973,030,463,715.90x = 1,459,545,695,573.90 × 973,030,463,715.90
  4. Step 4: Simplify right side
    973,030,463,715.90x = 1,420,182,424,978,817,789,460,480
  5. Step 5: Solve for x
    x = 1,420,182,424,978,817,789,460,480/973,030,463,715.90
  6. Step 6: Final answer
    x = 1,459,545,695,573.90

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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.