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Finding the Fourth Proportional to 966,886,866.90, 1,450,330,300.35 and 966,886,866.90

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Solution

The fourth proportional to 966,886,866.90, 1,450,330,300.35 and 966,886,866.90 is: 1,450,330,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,886,866.90 : 1,450,330,300.35 = 966,886,866.90 : x
  2. Step 2: Convert to fraction form
    966,886,866.90/1,450,330,300.35 = 966,886,866.90/x
  3. Step 3: Cross multiply
    966,886,866.90x = 1,450,330,300.35 × 966,886,866.90
  4. Step 4: Simplify right side
    966,886,866.90x = 1,402,305,320,075,547,392
  5. Step 5: Solve for x
    x = 1,402,305,320,075,547,392/966,886,866.90
  6. Step 6: Final answer
    x = 1,450,330,300.35

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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.