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Finding the Fourth Proportional to 10,455,779,456.70, 14,674,824,441.30 and 10,455,779,456.70

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Solution

The fourth proportional to 10,455,779,456.70, 14,674,824,441.30 and 10,455,779,456.70 is: 14,674,824,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,779,456.70 : 14,674,824,441.30 = 10,455,779,456.70 : x
  2. Step 2: Convert to fraction form
    10,455,779,456.70/14,674,824,441.30 = 10,455,779,456.70/x
  3. Step 3: Cross multiply
    10,455,779,456.70x = 14,674,824,441.30 × 10,455,779,456.70
  4. Step 4: Simplify right side
    10,455,779,456.70x = 153,436,727,924,023,590,912
  5. Step 5: Solve for x
    x = 153,436,727,924,023,590,912/10,455,779,456.70
  6. Step 6: Final answer
    x = 14,674,824,441.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.