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Finding the Fourth Proportional to 366,536,243,075.40, 549,804,364,613.10 and 366,536,243,075.40

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Solution

The fourth proportional to 366,536,243,075.40, 549,804,364,613.10 and 366,536,243,075.40 is: 549,804,364,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,536,243,075.40 : 549,804,364,613.10 = 366,536,243,075.40 : x
  2. Step 2: Convert to fraction form
    366,536,243,075.40/549,804,364,613.10 = 366,536,243,075.40/x
  3. Step 3: Cross multiply
    366,536,243,075.40x = 549,804,364,613.10 × 366,536,243,075.40
  4. Step 4: Simplify right side
    366,536,243,075.40x = 201,523,226,231,743,077,941,248
  5. Step 5: Solve for x
    x = 201,523,226,231,743,077,941,248/366,536,243,075.40
  6. Step 6: Final answer
    x = 549,804,364,613.10

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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.