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Finding the Fourth Proportional to 973,030,463,780.40, 1,459,545,695,670.60 and 973,030,463,780.40

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Solution

The fourth proportional to 973,030,463,780.40, 1,459,545,695,670.60 and 973,030,463,780.40 is: 1,459,545,695,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,030,463,780.40 : 1,459,545,695,670.60 = 973,030,463,780.40 : x
  2. Step 2: Convert to fraction form
    973,030,463,780.40/1,459,545,695,670.60 = 973,030,463,780.40/x
  3. Step 3: Cross multiply
    973,030,463,780.40x = 1,459,545,695,670.60 × 973,030,463,780.40
  4. Step 4: Simplify right side
    973,030,463,780.40x = 1,420,182,425,167,050,636,787,712
  5. Step 5: Solve for x
    x = 1,420,182,425,167,050,636,787,712/973,030,463,780.40
  6. Step 6: Final answer
    x = 1,459,545,695,670.60

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