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Finding the Fourth Proportional to 31,912,700,862.90, 47,869,051,294.35 and 31,912,700,862.90

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Solution

The fourth proportional to 31,912,700,862.90, 47,869,051,294.35 and 31,912,700,862.90 is: 47,869,051,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912,700,862.90 : 47,869,051,294.35 = 31,912,700,862.90 : x
  2. Step 2: Convert to fraction form
    31,912,700,862.90/47,869,051,294.35 = 31,912,700,862.90/x
  3. Step 3: Cross multiply
    31,912,700,862.90x = 47,869,051,294.35 × 31,912,700,862.90
  4. Step 4: Simplify right side
    31,912,700,862.90x = 1,527,630,714,547,407,683,584
  5. Step 5: Solve for x
    x = 1,527,630,714,547,407,683,584/31,912,700,862.90
  6. Step 6: Final answer
    x = 47,869,051,294.35

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Double scale
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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.