Finding the Fourth Proportional to 778,285,484,277.96, 1,167,604,260,671.40 and 420,129,770,416.62
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Solution
The fourth proportional to 778,285,484,277.96, 1,167,604,260,671.40 and 420,129,770,416.62 is: 630,289,681,463.66
Step by Step Solution
- Step 1: Write the proportion equation
778,285,484,277.96 : 1,167,604,260,671.40 = 420,129,770,416.62 : x - Step 2: Convert to fraction form
778,285,484,277.96/1,167,604,260,671.40 = 420,129,770,416.62/x - Step 3: Cross multiply
778,285,484,277.96x = 1,167,604,260,671.40 × 420,129,770,416.62 - Step 4: Simplify right side
778,285,484,277.96x = 490,545,309,973,342,572,249,088 - Step 5: Solve for x
x = 490,545,309,973,342,572,249,088/778,285,484,277.96 - Step 6: Final answer
x = 630,289,681,463.66
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.