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Finding the Fourth Proportional to 714,688,701.60, 1,069,765,570.80 and 714,688,701.60

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Solution

The fourth proportional to 714,688,701.60, 1,069,765,570.80 and 714,688,701.60 is: 1,069,765,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,688,701.60 : 1,069,765,570.80 = 714,688,701.60 : x
  2. Step 2: Convert to fraction form
    714,688,701.60/1,069,765,570.80 = 714,688,701.60/x
  3. Step 3: Cross multiply
    714,688,701.60x = 1,069,765,570.80 × 714,688,701.60
  4. Step 4: Simplify right side
    714,688,701.60x = 764,549,366,811,434,880
  5. Step 5: Solve for x
    x = 764,549,366,811,434,880/714,688,701.60
  6. Step 6: Final answer
    x = 1,069,765,570.80

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1.5x scale

Why These Related Problems?

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