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Finding the Fourth Proportional to 434,415,478,860.40, 651,623,218,290.60 and 434,415,478,860.40

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Solution

The fourth proportional to 434,415,478,860.40, 651,623,218,290.60 and 434,415,478,860.40 is: 651,623,218,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,415,478,860.40 : 651,623,218,290.60 = 434,415,478,860.40 : x
  2. Step 2: Convert to fraction form
    434,415,478,860.40/651,623,218,290.60 = 434,415,478,860.40/x
  3. Step 3: Cross multiply
    434,415,478,860.40x = 651,623,218,290.60 × 434,415,478,860.40
  4. Step 4: Simplify right side
    434,415,478,860.40x = 283,075,212,410,265,953,894,400
  5. Step 5: Solve for x
    x = 283,075,212,410,265,953,894,400/434,415,478,860.40
  6. Step 6: Final answer
    x = 651,623,218,290.60

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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.