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Finding the Fourth Proportional to 650,186,784,271.20, 975,280,176,406.80 and 650,186,784,271.20

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Solution

The fourth proportional to 650,186,784,271.20, 975,280,176,406.80 and 650,186,784,271.20 is: 975,280,176,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,186,784,271.20 : 975,280,176,406.80 = 650,186,784,271.20 : x
  2. Step 2: Convert to fraction form
    650,186,784,271.20/975,280,176,406.80 = 650,186,784,271.20/x
  3. Step 3: Cross multiply
    650,186,784,271.20x = 975,280,176,406.80 × 650,186,784,271.20
  4. Step 4: Simplify right side
    650,186,784,271.20x = 634,114,281,661,385,895,051,264
  5. Step 5: Solve for x
    x = 634,114,281,661,385,895,051,264/650,186,784,271.20
  6. Step 6: Final answer
    x = 975,280,176,406.80

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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.