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Finding the Fourth Proportional to 147,806,208,052.90, 221,709,312,079.35 and 147,806,208,052.90

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Solution

The fourth proportional to 147,806,208,052.90, 221,709,312,079.35 and 147,806,208,052.90 is: 221,709,312,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,806,208,052.90 : 221,709,312,079.35 = 147,806,208,052.90 : x
  2. Step 2: Convert to fraction form
    147,806,208,052.90/221,709,312,079.35 = 147,806,208,052.90/x
  3. Step 3: Cross multiply
    147,806,208,052.90x = 221,709,312,079.35 × 147,806,208,052.90
  4. Step 4: Simplify right side
    147,806,208,052.90x = 32,770,012,708,465,742,446,592
  5. Step 5: Solve for x
    x = 32,770,012,708,465,742,446,592/147,806,208,052.90
  6. Step 6: Final answer
    x = 221,709,312,079.35

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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.