Finding the Fourth Proportional to 447,329,682,952.17, 670,997,032,862.58 and 149,208,798,247.53
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Solution
The fourth proportional to 447,329,682,952.17, 670,997,032,862.58 and 149,208,798,247.53 is: 223,814,034,070.68
Step by Step Solution
- Step 1: Write the proportion equation
447,329,682,952.17 : 670,997,032,862.58 = 149,208,798,247.53 : x - Step 2: Convert to fraction form
447,329,682,952.17/670,997,032,862.58 = 149,208,798,247.53/x - Step 3: Cross multiply
447,329,682,952.17x = 670,997,032,862.58 × 149,208,798,247.53 - Step 4: Simplify right side
447,329,682,952.17x = 100,118,660,901,083,948,253,184 - Step 5: Solve for x
x = 100,118,660,901,083,948,253,184/447,329,682,952.17 - Step 6: Final answer
x = 223,814,034,070.68
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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.