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Finding the Fourth Proportional to 973,030,464,027.90, 1,459,545,696,041.90 and 973,030,464,027.90

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Solution

The fourth proportional to 973,030,464,027.90, 1,459,545,696,041.90 and 973,030,464,027.90 is: 1,459,545,696,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,030,464,027.90 : 1,459,545,696,041.90 = 973,030,464,027.90 : x
  2. Step 2: Convert to fraction form
    973,030,464,027.90/1,459,545,696,041.90 = 973,030,464,027.90/x
  3. Step 3: Cross multiply
    973,030,464,027.90x = 1,459,545,696,041.90 × 973,030,464,027.90
  4. Step 4: Simplify right side
    973,030,464,027.90x = 1,420,182,425,889,574,194,511,872
  5. Step 5: Solve for x
    x = 1,420,182,425,889,574,194,511,872/973,030,464,027.90
  6. Step 6: Final answer
    x = 1,459,545,696,041.90

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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.