Finding the Fourth Proportional to 105,238,102,924.52, 157,866,430,692.18 and 29,691,915,359.84
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Solution
The fourth proportional to 105,238,102,924.52, 157,866,430,692.18 and 29,691,915,359.84 is: 44,540,490,259.83
Step by Step Solution
- Step 1: Write the proportion equation
105,238,102,924.52 : 157,866,430,692.18 = 29,691,915,359.84 : x - Step 2: Convert to fraction form
105,238,102,924.52/157,866,430,692.18 = 29,691,915,359.84/x - Step 3: Cross multiply
105,238,102,924.52x = 157,866,430,692.18 × 29,691,915,359.84 - Step 4: Simplify right side
105,238,102,924.52x = 4,687,356,698,272,887,472,128 - Step 5: Solve for x
x = 4,687,356,698,272,887,472,128/105,238,102,924.52 - Step 6: Final answer
x = 44,540,490,259.83
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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.