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Finding the Fourth Proportional to 706,280,448.24, 974,114,857.08 and 458,841,527.28

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Solution

The fourth proportional to 706,280,448.24, 974,114,857.08 and 458,841,527.28 is: 632,842,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,280,448.24 : 974,114,857.08 = 458,841,527.28 : x
  2. Step 2: Convert to fraction form
    706,280,448.24/974,114,857.08 = 458,841,527.28/x
  3. Step 3: Cross multiply
    706,280,448.24x = 974,114,857.08 × 458,841,527.28
  4. Step 4: Simplify right side
    706,280,448.24x = 446,964,348,768,726,144
  5. Step 5: Solve for x
    x = 446,964,348,768,726,144/706,280,448.24
  6. Step 6: Final answer
    x = 632,842,590.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.