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Finding the Fourth Proportional to 310,295,113,899.02, 465,442,670,848.57 and 310,295,113,899.02

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Solution

The fourth proportional to 310,295,113,899.02, 465,442,670,848.57 and 310,295,113,899.02 is: 465,442,670,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,295,113,899.02 : 465,442,670,848.57 = 310,295,113,899.02 : x
  2. Step 2: Convert to fraction form
    310,295,113,899.02/465,442,670,848.57 = 310,295,113,899.02/x
  3. Step 3: Cross multiply
    310,295,113,899.02x = 465,442,670,848.57 × 310,295,113,899.02
  4. Step 4: Simplify right side
    310,295,113,899.02x = 144,424,586,564,421,113,872,384
  5. Step 5: Solve for x
    x = 144,424,586,564,421,113,872,384/310,295,113,899.02
  6. Step 6: Final answer
    x = 465,442,670,848.57

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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.