Finding the Fourth Proportional to 470,781,050,174.73, 706,283,810,486.50 and 152,427,344,779.94
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Solution
The fourth proportional to 470,781,050,174.73, 706,283,810,486.50 and 152,427,344,779.94 is: 228,677,356,179.82
Step by Step Solution
- Step 1: Write the proportion equation
470,781,050,174.73 : 706,283,810,486.50 = 152,427,344,779.94 : x - Step 2: Convert to fraction form
470,781,050,174.73/706,283,810,486.50 = 152,427,344,779.94/x - Step 3: Cross multiply
470,781,050,174.73x = 706,283,810,486.50 × 152,427,344,779.94 - Step 4: Simplify right side
470,781,050,174.73x = 107,656,965,893,515,544,363,008 - Step 5: Solve for x
x = 107,656,965,893,515,544,363,008/470,781,050,174.73 - Step 6: Final answer
x = 228,677,356,179.82
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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.