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Finding the Fourth Proportional to 309,050,587,625.60, 463,575,881,438.40 and 309,050,587,625.60

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Solution

The fourth proportional to 309,050,587,625.60, 463,575,881,438.40 and 309,050,587,625.60 is: 463,575,881,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,050,587,625.60 : 463,575,881,438.40 = 309,050,587,625.60 : x
  2. Step 2: Convert to fraction form
    309,050,587,625.60/463,575,881,438.40 = 309,050,587,625.60/x
  3. Step 3: Cross multiply
    309,050,587,625.60x = 463,575,881,438.40 × 309,050,587,625.60
  4. Step 4: Simplify right side
    309,050,587,625.60x = 143,268,398,567,592,986,411,008
  5. Step 5: Solve for x
    x = 143,268,398,567,592,986,411,008/309,050,587,625.60
  6. Step 6: Final answer
    x = 463,575,881,438.40

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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.